Course module
Section 3 | रैखिक बीजगणित / Linear Algebra — BPSC TRE 4.0 PGT Mathematics (कक्षा 11–12)
विषय भाग (80 प्रश्न): वरिष्ठ माध्यमिक शिक्षक स्तर पर इकाई-वार MCQ अभ्यास। / Unit-wise MCQ practice at PGT depth for the subject section (80 questions). Linear Algebra.
Explore the module outline and lessons below. Enroll free to begin studying here.
Return to /learn/BPSC-TRE-4-SENIOR-SECONDARY-TEACHER-CLASS-11-12-MATHEMATICS/subject-linear-algebra after enrolling
- Lessons
- 35
- Duration
- —
- PYQs
- 3
- Practice
- 64
2% of this course's PYQ weight is covered in this module.
Syllabus index
Lessons in this module
Linear Algebra
Matrix and Vectors - Definition and Types
- [Notes] Introduction to Matrix & VectorsPdf
- [Notes] Dot Product of VectorsPdf
- [Notes] Types of MatricesPdf
- [Notes] Special Matrices-Orthogonal MatrixPdf
- [Notes] Special Matrices-Idempotent MatrixPdf
- [Notes] Special Matrices-Involutary MatrixPdf
- [Notes] Special Matrices-Nilpotent MatrixPdf
- [Notes] Equality of MatricesPdf
Matrix Addition and Multiplication
Transpose of a Matrix
Elementary Row and Column Operations
Determinant of a Matrix
Adjoint and Inverse of a Matrix
Rank of a Matrix
System of Linear Equations
- [Notes] System of Linear EquationsPdf
- [Notes] Solution SetPdf
- [Notes] Under-determined & Over-determined SystemPdf
- [Notes] Independence of System of Linear EquationsPdf
- [Notes] Consistent System of EquationsPdf
- [Notes] Elimination of Variables (Solving System of Linear Equation)Pdf
- [Notes] Echelon Form - Gauss Elimination Method (Solving Equations)Pdf
- [Notes] Diagonal Matrix - Gauss Elimination Method-Solving EquationsPdf
- [Notes] Shortcut Tricks for Solving System of Linear EquationsPdf
- [Notes] Cramer's Rule (Solving System of Linear Equation)Pdf
- [Notes] Matrix Solution (Solving System of Linear Equations)Pdf
- [Notes] Homogeneous System of Linear EquationsPdf
Trace of a Matrix
Previous-year questions
Explore the course
Previous moduleSection 3 | समुच्चय, संबंध, फलन, तर्क एवं ग्राफ / Sets, Relations, Functions, Logic & GraphsNext moduleSection 3 | समीकरण सिद्धांत, अमूर्त बीजगणित एवं संख्या सिद्धांत / Theory of Equations, Abstract Algebra & Number Theory
- Section 1 | हिंदी भाषा — 22 प्रश्न (निश्चित)
- Section 1 | उर्दू भाषा — 22 प्रश्न (निश्चित)
- Section 1 | বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)
- Section 1 | English Language — 8 प्रश्न (निश्चित, अनिवार्य)
- Section 2 | गणित एवं तार्किक क्षमता / Mathematics & Reasoning (GS)
- Section 2 | बिहार विशेष / Bihar GK
- Section 2 | सामान्य विज्ञान / General Science (GS)
- Section 2 | सामान्य ज्ञान एवं समसामयिकी / GK & Current Affairs
- Section 3 | अनुक्रम, कलन, वास्तविक विश्लेषण एवं टोपोलॉजी / Sequences, Calculus, Real Analysis & Topology
- Section 3 | त्रिकोणमिति, सदिश एवं ज्यामिति / Trigonometry, Vectors & Geometry
- Section 3 | क्रमचय-संचय, प्रायिकता एवं सांख्यिकी / Combinatorics, Probability & Statistics
- Section 3 | समुच्चय, संबंध, फलन, तर्क एवं ग्राफ / Sets, Relations, Functions, Logic & Graphs
- Section 3 | समीकरण सिद्धांत, अमूर्त बीजगणित एवं संख्या सिद्धांत / Theory of Equations, Abstract Algebra & Number Theory
- Section 3 | सम्मिश्र संख्याएँ एवं विश्लेषण / Complex Numbers & Analysis
- Section 3 | अवकल समीकरण एवं यांत्रिकी / Differential Equations & Mechanics
- Section 3 | अनुकूलन एवं संख्यात्मक विश्लेषण / Optimization & Numerical Analysis