The rank of the given matrix is: [Tex]\begin{bmatrix} 1 & 1 \\ 0 & 0…
2002
The rank of the given matrix is:
[Tex]\begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}[/Tex]
- A.
1
- B.
0
- C.
2
- D.
4
Attempted by 18 students.
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Correct answer: A
The correct answer is Option A. The rank of a matrix is the maximum number of linearly independent rows or columns. In the given matrix, the first row [1, 1] is non-zero, while the second row [0, 0] is a zero row. Therefore, there is exactly one non-zero independent row, so the rank of the matrix is 1.