Mathematics · JEE | MATRICES
हिन्दीWhat is the product \( AB \) if \( A = \begin{bmatrix} 0 & -1 \ 0 & 2 \end{bmatrix} \) and \( B = \begin{bmatrix} 3 & 5 \ 0 & 0 \end{bmatrix} \)?
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Correct answer · Option D
\( \begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix} \)
Explanation
Computing \( AB = \begin{bmatrix} 0 & -1 \ 0 & 2 \end{bmatrix} \begin{bmatrix} 3 & 5 \ 0 & 0 \end{bmatrix} = \begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix} \), showing two non-zero matrices can yield a zero matrix.