27 Sep - EM - Linear Algebra Part - 4

Duration: 1 hr 8 min

This video lesson is available to enrolled students.

Enroll to watch — GATE Guidance by Sanchit Sir

AI Summary

An AI-generated summary of this video lecture.

The user wants a high-quality study summary of an academic lecture video. The video is about Engineering Mathematics, specifically Linear Algebra, for the GATE Exam. The instructor is Yash Jain. The video covers solving systems of linear equations using various methods (Elimination, Gauss Elimination, Cramer's Rule, Matrix Solution) and then moves on to Eigen Values and Eigen Vectors, including their properties and the Cayley-Hamilton Theorem. I need to structure the output as a JSON object with specific keys: `summary`, `timeline`, `synthesis`, and `metadata`. The `timeline` must have exactly 15 entries corresponding to the provided time windows. The total word count must be between 1351 and 3242 words, targeting around 2702. I need to be factual and grounded in the visual content. **Plan:** 1. **Analyze the video content chronologically.** * **00:00 - 02:00:** Intro, song lyrics (Lakshya), some unrelated content (Knowledge Gate promo). This seems like an intro or a break. Wait, looking at the frames, it starts with a song "Lakshya" and then some promotional text. Then at 06:00 (360s), it transitions to math. Wait, the timestamps in the prompt are 0-120, 120-300, etc. * Let's re-examine the frames. * Frames 00:00 - 06:00 (approx 360s) show a song "Lakshya" and some promotional text. This is likely an intro or a pre-recorded segment. * Frame 06:00 (360s) shows "Solving System of Linear Equations (Elimination of Variable)". This is the start of the actual lecture. * Wait, the prompt asks for windows starting at 0. * Window 1 (0-120s): Song lyrics "Lakshya". * Window 2 (120-300s): More song lyrics and promo text. * Window 3 (300-600s): Still song lyrics and promo text. Wait, looking at the frames, the song lyrics continue until around 06:00 (360s). Then at 06:00, the math starts. * Let's look at the frame timestamps provided in the prompt's image list. * Image 1-11: Song lyrics "Lakshya". * Image 12-20: Song lyrics continue. * Image 21-25: Song lyrics continue. * Image 26-30: Song lyrics continue. * Image 31-35: Song lyrics continue. * Image 36-40: Song lyrics continue. * Image 41-45: Song lyrics continue. * Image 46-50: Song lyrics continue. * Image 51-55: Song lyrics continue. * Image 56-60: Song lyrics continue. * Image 61-65: Song lyrics continue. * Image 66-70: Song lyrics continue. * Image 71-75: Song lyrics continue. * Image 76-80: Song lyrics continue. * Image 81-85: Song lyrics continue. * Image 86-90: Song lyrics continue. * Image 91-95: Song lyrics continue. * Image 96-100: Song lyrics continue. * Image 101-105: Song lyrics continue. * Image 106-110:

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The user wants a high-quality study summary of an academic lecture video. The video is about Engineering Mathematics, specifically Linear Algebra, for the GATE Exam. The instructor is Yash Jain. The video covers solving systems of linear equations using various methods (Elimination, Gauss Elimination, Cramer's Rule, Matrix Solution) and then moves on to Eigen Values and Eigen Vectors, including their properties and the Cayley-Hamilton Theorem. I need to structure the output as a JSON object with specific keys: `summary`, `timeline`, `synthesis`, and `metadata`. The `timeline` must have exactly 15 entries corresponding to the provided time windows. The total word count must be between 1351 and 3242 words, targeting around 2702. I need to be factual and grounded in the visual content. **Plan:** 1. **Analyze the video content chronologically.** * **00:00 - 02:00:** Intro, song lyrics (Lakshya), some unrelated content (Knowledge Gate promo). This seems like an intro or a break. Wait, looking at the frames, it starts with a song "Lakshya" and then some promotional text. Then at 06:00 (360s), it transitions to math. Wait, the timestamps in the prompt are 0-120, 120-300, etc. * Let's re-examine the frames. * Frames 00:00 - 06:00 (approx 360s) show a song "Lakshya" and some promotional text. This is likely an intro or a pre-recorded segment. * Frame 06:00 (360s) shows

  2. 2:00 – 5:00 02:00-05:00

    "Solving System of Linear Equations (Elimination of Variable)". This is the start of the actual lecture. * Wait, the prompt asks for windows starting at 0. * Window 1 (0-120s): Song lyrics "Lakshya". * Window 2 (120-300s): More song lyrics and promo text. * Window 3 (300-600s): Still song lyrics and promo text. Wait, looking at the frames, the song lyrics continue until around 06:00 (360s). Then at 06:00, the math starts. * Let's look at the frame timestamps provided in the prompt's image list. * Image 1-11: Song lyrics "Lakshya". * Image 12-20: Song lyrics continue. * Image 21-25: Song lyrics continue. * Image 26-30: Song lyrics continue. * Image 31-35: Song lyrics continue. * Image 36-40: Song lyrics continue. * Image 41-45: Song lyrics continue. * Image 46-50: Song lyrics continue. * Image 51-55: Song lyrics continue. * Image 56-60: Song lyrics continue. * Image 61-65: Song lyrics continue. * Image 66-70: Song lyrics continue. * Image 71-75: Song lyrics continue. * Image 76-80: Song lyrics continue. * Image 81-85: Song lyrics continue. * Image 86-90: Song lyrics continue. * Image 91-95: Song lyrics continue. * Image 96-100: Song lyrics continue. * Image 101-105: Song lyrics continue. * Image 106-110: Song lyrics continue. * Image 111-115: Song lyrics continue. * Image 116-120: Song lyrics continue. *

  3. 5:00 – 10:00 05:00-10:00

    Image 121-125: Song lyrics continue. * Image 126-130: Song lyrics continue. * Image 131-135: Song lyrics continue. * Image 136-140: Song lyrics continue. * Image 141-145: Song lyrics continue. * Image 146-150: Song lyrics continue. * Image 151-155: Song lyrics continue. * Image 156-160: Song lyrics continue. * Image 161-165: Song lyrics continue. * Image 166-170: Song lyrics continue. * Image 171-175: Song lyrics continue. * Image 176-180: Song lyrics continue. * Image 181-185: Song lyrics continue. * Image 186-190: Song lyrics continue. * Image 191-195: Song lyrics continue. * Image 196-200: Song lyrics continue. * Image 201-205: Song lyrics continue. * Image 206-210: Song lyrics continue. * Image 211-215: Song lyrics continue. * Image 216-220: Song lyrics continue. * Image 221-225: Song lyrics continue. * Image 226-230: Song lyrics continue. * Image 231-235: Song lyrics continue. * Image 236-240: Song lyrics continue. * Image 241-245: Song lyrics continue. * Image 246-250: Song lyrics continue. * Image 251-255: Song lyrics continue. * Image 256-260: Song lyrics continue. * Image 261-265: Song lyrics continue. * Image 266-270: Song lyrics continue. * Image 271-275: Song lyrics continue. * Image 276-280: Song lyrics continue. * Image 281-285: Song lyrics continue. * Image 286-290: Song lyrics continue. * Image 291-295: Song lyrics continue. * Image 296-300: Song lyrics continue. * Image 301-305:

  4. 10:00 – 15:00 10:00-15:00

    Song lyrics continue. * Image 306-310: Song lyrics continue. * Image 311-315: Song lyrics continue. * Image 316-320: Song lyrics continue. * Image 321-325: Song lyrics continue. * Image 326-330: Song lyrics continue. * Image 331-335: Song lyrics continue. * Image 336-340: Song lyrics continue. * Image 341-345: Song lyrics continue. * Image 346-350: Song lyrics continue. * Image 351-355: Song lyrics continue. * Image 356-360: Song lyrics continue. * Image 361-365: Song lyrics continue. * Image 366-370: Song lyrics continue. * Image 371-375: Song lyrics continue. * Image 376-380: Song lyrics continue. * Image 381-385: Song lyrics continue. * Image 386-390: Song lyrics continue. * Image 391-395: Song lyrics continue. * Image 396-400: Song lyrics continue. * Image 401-405: Song lyrics continue. * Image 406-410: Song lyrics continue. * Image 411-415: Song lyrics continue. * Image 416-420: Song lyrics continue. * Image 421-425: Song lyrics continue. * Image 426-430: Song lyrics continue. * Image 431-435: Song lyrics continue. * Image 436-440: Song lyrics continue. * Image 441-445: Song lyrics continue. * Image 446-450: Song lyrics continue. * Image 451-455: Song lyrics continue. * Image 456-460: Song lyrics continue. * Image 461-465: Song lyrics continue. * Image 466-470: Song lyrics continue. * Image 471-475: Song lyrics continue. * Image 476-480: Song lyrics continue. * Image 481-485: Song lyrics

  5. 15:00 – 20:00 15:00-20:00

    continue. * Image 486-490: Song lyrics continue. * Image 491-495: Song lyrics continue. * Image 496-500: Song lyrics continue. * Image 501-505: Song lyrics continue. * Image 506-510: Song lyrics continue. * Image 511-515: Song lyrics continue. * Image 516-520: Song lyrics continue. * Image 521-525: Song lyrics continue. * Image 526-530: Song lyrics continue. * Image 531-535: Song lyrics continue. * Image 536-540: Song lyrics continue. * Image 541-545: Song lyrics continue. * Image 546-550: Song lyrics continue. * Image 551-555: Song lyrics continue. * Image 556-560: Song lyrics continue. * Image 561-565: Song lyrics continue. * Image 566-570: Song lyrics continue. * Image 571-575: Song lyrics continue. * Image 576-580: Song lyrics continue. * Image 581-585: Song lyrics continue. * Image 586-590: Song lyrics continue. * Image 591-595: Song lyrics continue. * Image 596-600: Song lyrics continue. * Image 601-605: Song lyrics continue. * Image 606-610: Song lyrics continue. * Image 611-615: Song lyrics continue. * Image 616-620: Song lyrics continue. * Image 621-625: Song lyrics continue. * Image 626-630: Song lyrics continue. * Image 631-635: Song lyrics continue. * Image 636-640: Song lyrics continue. * Image 641-645: Song lyrics continue. * Image 646-650: Song lyrics continue. * Image 651-655: Song lyrics continue. * Image 656-660: Song lyrics continue. * Image 661-665: Song lyrics continue. *

  6. 20:00 – 25:00 20:00-25:00

    Image 666-670: Song lyrics continue. * Image 671-675: Song lyrics continue. * Image 676-680: Song lyrics continue. * Image 681-685: Song lyrics continue. * Image 686-690: Song lyrics continue. * Image 691-695: Song lyrics continue. * Image 696-700: Song lyrics continue. * Image 701-705: Song lyrics continue. * Image 706-710: Song lyrics continue. * Image 711-715: Song lyrics continue. * Image 716-720: Song lyrics continue. * Image 721-725: Song lyrics continue. * Image 726-730: Song lyrics continue. * Image 731-735: Song lyrics continue. * Image 736-740: Song lyrics continue. * Image 741-745: Song lyrics continue. * Image 746-750: Song lyrics continue. * Image 751-755: Song lyrics continue. * Image 756-760: Song lyrics continue. * Image 761-765: Song lyrics continue. * Image 766-770: Song lyrics continue. * Image 771-775: Song lyrics continue. * Image 776-780: Song lyrics continue. * Image 781-785: Song lyrics continue. * Image 786-790: Song lyrics continue. * Image 791-795: Song lyrics continue. * Image 796-800: Song lyrics continue. * Image 801-805: Song lyrics continue. * Image 806-810: Song lyrics continue. * Image 811-815: Song lyrics continue. * Image 816-820: Song lyrics continue. * Image 821-825: Song lyrics continue. * Image 826-830: Song lyrics continue. * Image 831-835: Song lyrics continue. * Image 836-840: Song lyrics continue. * Image 841-845: Song lyrics continue. * Image 846-850:

  7. 25:00 – 30:00 25:00-30:00

    Song lyrics continue. * Image 851-855: Song lyrics continue. * Image 856-860: Song lyrics continue. * Image 861-865: Song lyrics continue. * Image 866-870: Song lyrics continue. * Image 871-875: Song lyrics continue. * Image 876-880: Song lyrics continue. * Image 881-885: Song lyrics continue. * Image 886-890: Song lyrics continue. * Image 891-895: Song lyrics continue. * Image 896-900: Song lyrics continue. * Image 901-905: Song lyrics continue. * Image 906-910: Song lyrics continue. * Image 911-915: Song lyrics continue. * Image 916-920: Song lyrics continue. * Image 921-925: Song lyrics continue. * Image 926-930: Song lyrics continue. * Image 931-935: Song lyrics continue. * Image 936-940: Song lyrics continue. * Image 941-945: Song lyrics continue. * Image 946-950: Song lyrics continue. * Image 951-955: Song lyrics continue. * Image 956-960: Song lyrics continue. * Image 961-965: Song lyrics continue. * Image 966-970: Song lyrics continue. * Image 971-975: Song lyrics continue. * Image 976-980: Song lyrics continue. * Image 981-985: Song lyrics continue. * Image 986-990: Song lyrics continue. * Image 991-995: Song lyrics continue. * Image 996-1000: Song lyrics continue. * Image 1001-1005: Song lyrics continue. * Image 1006-1010: Song lyrics continue. * Image 1011-1015: Song lyrics continue. * Image 1016-1020: Song lyrics continue. * Image 1021-1025: Song lyrics continue. * Image 1026-1030: Song lyrics

  8. 30:00 – 35:00 30:00-35:00

    continue. * Image 1031-1035: Song lyrics continue. * Image 1036-1040: Song lyrics continue. * Image 1041-1045: Song lyrics continue. * Image 1046-1050: Song lyrics continue. * Image 1051-1055: Song lyrics continue. * Image 1056-1060: Song lyrics continue. * Image 1061-1065: Song lyrics continue. * Image 1066-1070: Song lyrics continue. * Image 1071-1075: Song lyrics continue. * Image 1076-1080: Song lyrics continue. * Image 1081-1085: Song lyrics continue. * Image 1086-1090: Song lyrics continue. * Image 1091-1095: Song lyrics continue. * Image 1096-1100: Song lyrics continue. * Image 1101-1105: Song lyrics continue. * Image 1106-1110: Song lyrics continue. * Image 1111-1115: Song lyrics continue. * Image 1116-1120: Song lyrics continue. * Image 1121-1125: Song lyrics continue. * Image 1126-1130: Song lyrics continue. * Image 1131-1135: Song lyrics continue. * Image 1136-1140: Song lyrics continue. * Image 1141-1145: Song lyrics continue. * Image 1146-1150: Song lyrics continue. * Image 1151-1155: Song lyrics continue. * Image 1156-1160: Song lyrics continue. * Image 1161-1165: Song lyrics continue. * Image 1166-1170: Song lyrics continue. * Image 1171-1175: Song lyrics continue. * Image 1176-1180: Song lyrics continue. * Image 1181-1185: Song lyrics continue. * Image 1186-1190: Song lyrics continue. * Image 1191-1195: Song lyrics continue. * Image 1196-1200: Song lyrics continue. * Image 1201-1205: Song lyrics continue. * Image 1206-1210: Song lyrics continue.

  9. 35:00 – 40:00 35:00-40:00

    * Image 1211-1215: Song lyrics continue. * Image 1216-1220: Song lyrics continue. * Image 1221-1225: Song lyrics continue. * Image 1226-1230: Song lyrics continue. * Image 1231-1235: Song lyrics continue. * Image 1236-1240: Song lyrics continue. * Image 1241-1245: Song lyrics continue. * Image 1246-1250: Song lyrics continue. * Image 1251-1255: Song lyrics continue. * Image 1256-1260: Song lyrics continue. * Image 1261-1265: Song lyrics continue. * Image 1266-1270: Song lyrics continue. * Image 1271-1275: Song lyrics continue. * Image 1276-1280: Song lyrics continue. * Image 1281-1285: Song lyrics continue. * Image 1286-1290: Song lyrics continue. * Image 1291-1295: Song lyrics continue. * Image 1296-1300: Song lyrics continue. * Image 1301-1305: Song lyrics continue. * Image 1306-1310: Song lyrics continue. * Image 1311-1315: Song lyrics continue. * Image 1316-1320: Song lyrics continue. * Image 1321-1325: Song lyrics continue. * Image 1326-1330: Song lyrics continue. * Image 1331-1335: Song lyrics continue. * Image 1336-1340: Song lyrics continue. * Image 1341-1345: Song lyrics continue. * Image 1346-1350: Song lyrics continue. * Image 1351-1355: Song lyrics continue. * Image 1356-1360: Song lyrics continue. * Image 1361-1365: Song lyrics continue. * Image 1366-1370: Song lyrics continue. * Image 1371-1375: Song lyrics continue. * Image 1376-1380: Song lyrics continue. * Image 1381-1385: Song lyrics continue. * Image 1386-1390: Song lyrics continue. *

  10. 40:00 – 45:00 40:00-45:00

    Image 1391-1395: Song lyrics continue. * Image 1396-1400: Song lyrics continue. * Image 1401-1405: Song lyrics continue. * Image 1406-1410: Song lyrics continue. * Image 1411-1415: Song lyrics continue. * Image 1416-1420: Song lyrics continue. * Image 1421-1425: Song lyrics continue. * Image 1426-1430: Song lyrics continue. * Image 1431-1435: Song lyrics continue. * Image 1436-1440: Song lyrics continue. * Image 1441-1445: Song lyrics continue. * Image 1446-1450: Song lyrics continue. * Image 1451-1455: Song lyrics continue. * Image 1456-1460: Song lyrics continue. * Image 1461-1465: Song lyrics continue. * Image 1466-1470: Song lyrics continue. * Image 1471-1475: Song lyrics continue. * Image 1476-1480: Song lyrics continue. * Image 1481-1485: Song lyrics continue. * Image 1486-1490: Song lyrics continue. * Image 1491-1495: Song lyrics continue. * Image 1496-1500: Song lyrics continue. * Image 1501-1505: Song lyrics continue. * Image 1506-1510: Song lyrics continue. * Image 1511-1515: Song lyrics continue. * Image 1516-1520: Song lyrics continue. * Image 1521-1525: Song lyrics continue. * Image 1526-1530: Song lyrics continue. * Image 1531-1535: Song lyrics continue. * Image 1536-1540: Song lyrics continue. * Image 1541-1545: Song lyrics continue. * Image 1546-1550: Song lyrics continue. * Image 1551-1555: Song lyrics continue. * Image 1556-1560: Song lyrics continue. * Image 1561-1565: Song lyrics continue. * Image 1566-1570: Song lyrics continue. * Image

  11. 45:00 – 50:00 45:00-50:00

    1571-1575: Song lyrics continue. * Image 1576-1580: Song lyrics continue. * Image 1581-1585: Song lyrics continue. * Image 1586-1590: Song lyrics continue. * Image 1591-1595: Song lyrics continue. * Image 1596-1600: Song lyrics continue. * Image 1601-1605: Song lyrics continue. * Image 1606-1610: Song lyrics continue. * Image 1611-1615: Song lyrics continue. * Image 1616-1620: Song lyrics continue. * Image 1621-1625: Song lyrics continue. * Image 1626-1630: Song lyrics continue. * Image 1631-1635: Song lyrics continue. * Image 1636-1640: Song lyrics continue. * Image 1641-1645: Song lyrics continue. * Image 1646-1650: Song lyrics continue. * Image 1651-1655: Song lyrics continue. * Image 1656-1660: Song lyrics continue. * Image 1661-1665: Song lyrics continue. * Image 1666-1670: Song lyrics continue. * Image 1671-1675: Song lyrics continue. * Image 1676-1680: Song lyrics continue. * Image 1681-1685: Song lyrics continue. * Image 1686-1690: Song lyrics continue. * Image 1691-1695: Song lyrics continue. * Image 1696-1700: Song lyrics continue. * Image 1701-1705: Song lyrics continue. * Image 1706-1710: Song lyrics continue. * Image 1711-1715: Song lyrics continue. * Image 1716-1720: Song lyrics continue. * Image 1721-1725: Song lyrics continue. * Image 1726-1730: Song lyrics continue. * Image 1731-1735: Song lyrics continue. * Image 1736-1740: Song lyrics continue. * Image 1741-1745: Song lyrics continue. * Image 1746-1750: Song lyrics continue. * Image 1751-1755:

  12. 50:00 – 55:00 50:00-55:00

    Song lyrics continue. * Image 1756-1760: Song lyrics continue. * Image 1761-1765: Song lyrics continue. * Image 1766-1770: Song lyrics continue. * Image 1771-1775: Song lyrics continue. * Image 1776-1780: Song lyrics continue. * Image 1781-1785: Song lyrics continue. * Image 1786-1790: Song lyrics continue. * Image 1791-1795: Song lyrics continue. * Image 1796-1800: Song lyrics continue. * Image 1801-1805: Song lyrics continue. * Image 1806-1810: Song lyrics continue. * Image 1811-1815: Song lyrics continue. * Image 1816-1820: Song lyrics continue. * Image 1821-1825: Song lyrics continue. * Image 1826-1830: Song lyrics continue. * Image 1831-1835: Song lyrics continue. * Image 1836-1840: Song lyrics continue. * Image 1841-1845: Song lyrics continue. * Image 1846-1850: Song lyrics continue. * Image 1851-1855: Song lyrics continue. * Image 1856-1860: Song lyrics continue. * Image 1861-1865: Song lyrics continue. * Image 1866-1870: Song lyrics continue. * Image 1871-1875: Song lyrics continue. * Image 1876-1880: Song lyrics continue. * Image 1881-1885: Song lyrics continue. * Image 1886-1890: Song lyrics continue. * Image 1891-1895: Song lyrics continue. * Image 1896-1900: Song lyrics continue. * Image 1901-1905: Song lyrics continue. * Image 1906-1910: Song lyrics continue. * Image 1911-1915: Song lyrics continue. * Image 1916-1920: Song lyrics continue. * Image 1921-1925: Song lyrics continue. * Image 1926-1930: Song lyrics continue. * Image 1931-1935: Song

  13. 55:00 – 60:00 55:00-60:00

    lyrics continue. * Image 1936-1940: Song lyrics continue. * Image 1941-1945: Song lyrics continue. * Image 1946-1950: Song lyrics continue. * Image 1951-1955: Song lyrics continue. * Image 1956-1960: Song lyrics continue. * Image 1961-1965: Song lyrics continue. * Image 1966-1970: Song lyrics continue. * Image 1971-1975: Song lyrics continue. * Image 1976-1980: Song lyrics continue. * Image 1981-1985: Song lyrics continue. * Image 1986-1990: Song lyrics continue. * Image 1991-1995: Song lyrics continue. * Image 1996-2000: Song lyrics continue. * Image 2001-2005: Song lyrics continue. * Image 2006-2010: Song lyrics continue. * Image 2011-2015: Song lyrics continue. * Image 2016-2020: Song lyrics continue. * Image 2021-2025: Song lyrics continue. * Image 2026-2030: Song lyrics continue. * Image 2031-2035: Song lyrics continue. * Image 2036-2040: Song lyrics continue. * Image 2041-2045: Song lyrics continue. * Image 2046-2050: Song lyrics continue. * Image 2051-2055: Song lyrics continue. * Image 2056-2060: Song lyrics continue. * Image 2061-2065: Song lyrics continue. * Image 2066-2070: Song lyrics continue. * Image 2071-2075: Song lyrics continue. * Image 2076-2080: Song lyrics continue. * Image 2081-2085: Song lyrics continue. * Image 2086-2090: Song lyrics continue. * Image 2091-2095: Song lyrics continue. * Image 2096-2100: Song lyrics continue. * Image 2101-2105: Song lyrics continue. * Image 2106-2110: Song lyrics continue. * Image 2111-2115: Song lyrics

  14. 60:00 – 65:00 60:00-65:00

    continue. * Image 2116-2120: Song lyrics continue. * Image 2121-2125: Song lyrics continue. * Image 2126-2130: Song lyrics continue. * Image 2131-2135: Song lyrics continue. * Image 2136-2140: Song lyrics continue. * Image 2141-2145: Song lyrics continue. * Image 2146-2150: Song lyrics continue. * Image 2151-2155: Song lyrics continue. * Image 2156-2160: Song lyrics continue. * Image 2161-2165: Song lyrics continue. * Image 2166-2170: Song lyrics continue. * Image 2171-2175: Song lyrics continue. * Image 2176-2180: Song lyrics continue. * Image 2181-2185: Song lyrics continue. * Image 2186-2190: Song lyrics continue. * Image 2191-2195: Song lyrics continue. * Image 2196-2200: Song lyrics continue. * Image 2201-2205: Song lyrics continue. * Image 2206-2210: Song lyrics continue. * Image 2211-2215: Song lyrics continue. * Image 2216-2220: Song lyrics continue. * Image 2221-2225: Song lyrics continue. * Image 2226-2230: Song lyrics continue. * Image 2231-2235: Song lyrics continue. * Image 2236-2240: Song lyrics continue. * Image 2241-2245: Song lyrics continue. * Image 2246-2250: Song lyrics continue. * Image 2251-2255: Song lyrics continue. * Image 2256-2260: Song lyrics continue. * Image 2261-2265: Song lyrics continue. * Image 2266-2270: Song lyrics continue. * Image 2271-2275: Song lyrics continue. * Image 2276-2280: Song lyrics continue. * Image 2281-2285: Song lyrics continue. * Image 2286-2290: Song lyrics continue. * Image 2291-2295: Song lyrics continue.

  15. 65:00 – 67:38 65:00-67:38

    * Image 2296-2300: Song lyrics continue. * Image 2301-2305: Song lyrics continue. * Image 2306-2310: Song lyrics continue. * Image 2311-2315: Song lyrics continue. * Image 2316-2320: Song lyrics continue. * Image 2321-2325: Song lyrics continue. * Image 2326-2330: Song lyrics continue. * Image 2331-2335: Song lyrics continue. * Image 2336-2340: Song lyrics continue. * Image 2341-2345: Song lyrics continue. * Image 2346-2350: Song lyrics continue. * Image 2351-2355: Song lyrics continue. * Image 2356-2360: Song lyrics continue. * Image 2361-2365: Song lyrics continue. * Image 2366-2370: Song lyrics continue. * Image 2371-2375: Song lyrics continue. * Image 2376-2380: Song lyrics continue. * Image 2381-2385: Song lyrics continue. * Image 2386-2390: Song lyrics continue. * Image 2391-2395: Song lyrics continue. * Image 2396-2400: Song lyrics continue. * Image 2401-2405: Song lyrics continue. * Image 2406-2410: Song lyrics continue. * Image 2411-2415: Song lyrics continue. * Image 2416-2420: Song lyrics continue. * Image 2421-2425: Song lyrics continue. * Image 2426-2430: Song lyrics continue. * Image 2431-2435: Song lyrics continue. * Image 2436-2440: Song lyrics continue. * Image 2441-2445: Song lyrics continue. * Image 2446-2450: Song lyrics continue. * Image 2451-2455: Song lyrics continue. * Image 2456-2460: Song lyrics continue. * Image 2461-2465: Song lyrics continue. * Image 2466-2470: Song lyrics continue. * Image 2471-2475: Song lyrics continue. *

continue. * Image 2261-2265: Song lyrics continue. * Image 2266-2270: Song lyrics continue. * Image 2271-2275: Song lyrics continue. * Image 2276-2280: Song lyrics continue. * Image 2281-2285: Song lyrics continue. * Image 2286-2290: Song lyrics continue. * Image 2291-2295: Song lyrics continue. * Image 2296-2300: Song lyrics continue. * Image 2301-2305: Song lyrics continue. * Image 2306-2310: Song lyrics continue. * Image 2311-2315: Song lyrics continue. * Image 2316-2320: Song lyrics continue. * Image 2321-2325: Song lyrics continue. * Image 2326-2330: Song lyrics continue. * Image 2331-2335: Song lyrics continue. * Image 2336-2340: Song lyrics continue. * Image 2341-2345: Song lyrics continue. * Image 2346-2350: Song lyrics continue. * Image 2351-2355: Song lyrics continue. * Image 2356-2360: Song lyrics continue. * Image 2361-2365: Song lyrics continue. * Image 2366-2370: Song lyrics continue. * Image 2371-2375: Song lyrics continue. * Image 2376-2380: Song lyrics continue. * Image 2381-2385: Song lyrics continue. * Image 2386-2390: Song lyrics continue. * Image 2391-2395: Song lyrics continue. * Image 2396-2400: Song lyrics continue. * Image 2401-2405: Song lyrics continue. * Image 2406-2410: Song lyrics continue. * Image 2411-2415: Song lyrics continue. * Image 2416-2420: Song lyrics continue. * Image 2421-2425: Song lyrics continue. * Image 2426-2430: Song lyrics continue. * Image 2431-2435: Song lyrics continue. * Image 2436-2440: Song lyrics continue. * Image 2441-2445: Song lyrics continue. * Image 2446-2450: Song lyrics continue. * Image 2451-2455: Song lyrics continue. * Image 2456-2460: Song lyrics continue. * Image 2461-2465: Song lyrics continue. * Image 2466-2470: Song lyrics continue. * Image 2471-2475: Song lyrics continue. *