Assertion (A): If A = bmatrix 2 & -1 -1 & 2 bmatrix , B = bmatrix 3 & 5 0 & 3 bmatrix …
Mathematics · Class 12 · CBSE — Matrices
Assertion (A): If \(A = \begin{bmatrix} 2 & -1 \\ -1 & 2 \end{bmatrix}\), \(B = \begin{bmatrix} 3 & 5 \\ 0 & 3 \end{bmatrix}\), then \(AB - BA\) is \(5\begin{bmatrix} 1 & 0 \\ 0 & -1 \end{bmatrix}\).
Reason (R): A matrix \(A = [a_{ij}]_{1 \times n}\) is row matrix.
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(B) Both (A) and (R) are true but (R) is not the correct explanation of (A).
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