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Matrices and Determinants question

2025 · 23 Jan · Shift 2 · Q38
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  5. /2025 · 23 Jan · Shift 2 · Q38

Matrices and Determinants question

2025 · 23 Jan · Shift 2 · Q38

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=[aij]A=\left[a_{i j}\right]A=[aij​] be a 3×33 \times 33×3 matrix such that A[010]=[001],A[413]=[010]A\left[\begin{array}{l}0 \\ 1 \\ 0\end{array}\right]=\left[\begin{array}{l}0 \\ 0 \\ 1\end{array}\right], A\left[\begin{array}{l}4 \\ 1 \\ 3\end{array}\right]=\left[\begin{array}{l}0 \\ 1 \\ 0\end{array}\right]A​010​​=​001​​,A​413​​=​010​​ and A[212]=[100]A\left[\begin{array}{l}2 \\ 1 \\ 2\end{array}\right]=\left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right]A​212​​=​100​​, then a23a_{23}a23​ equals :
  1. A
    2
  2. B
    −-− 1
  3. C
    1
  4. D
    0
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