Let A = [a_ij] be a 3 × 3 matrix such that A 0 1 0 = 0 0 1, A 4 1… | JEE Main 2025 Mathematics PYQ

MCQEasyJEE Main 2025 · 23 January, Shift 2Algebra of Matrices

Let $A = [a_{ij}]$ be a $3 \times 3$ matrix such that

A\begin{bmatrix} 0 \\ 1 \\ 0 \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \\ 1 \end{bmatrix}, \qquad A\begin{bmatrix} 4 \\ 1 \\ 3 \end{bmatrix} = \begin{bmatrix} 0 \\ 1 \\ 0 \end{bmatrix}, \qquad A\begin{bmatrix} 2 \\ 1 \\ 2 \end{bmatrix} = \begin{bmatrix} 1 \\ 0 \\ 0 \end{bmatrix}.

Then $a_{23}$ equals:

Answer & step-by-step solution

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