If P = bmatrix 1 & x & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 bmatrix is the adjoint of 3x3 matrix A and |A| is 4, then x is equal to : Option 1: 4 Option 2: 0 Option 3: 11 Option 4: 5

The answer is '11'. View full solution:

CUET Mathematics - If P = bmatrix 1 & x & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 bmatrix is the adjoint of 3x3 matrix A and |A| is 4, then x is equal to : | PYQs + Solutions

CUET Mathematics 2023 22 May Shift 3

Algebra

Medium

✅ Correct Option: 3

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If $A = \begin{bmatrix} a & 1 & -1 \\ 0 & b & 4 \\ 4 & 4 & c \end{bmatrix}$ and $abc = 12$ , $b = 4a$ , then the value of $|A(adjA)|$ is:

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Let $A = [a_{ij}]$ is given by $A = \begin{bmatrix} 1 & -1 & 2 \\ 3 & 4 & -5 \\ 2 & -1 & 3 \end{bmatrix}$ . Then the matrix $B = [b_{ij}]$ , where $b_{ij}$ = Minor of $a_{ij}$ is:

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Let $A = \begin{bmatrix} 2 & -1 & 3 \\ 1 & 2 & -1 \\ 4 & 1 & 2 \end{bmatrix}$ . $M_{ij}$ and $A_{ij}$ respectively denote the minor and cofactor of an element $a_{ij}$ of matrix $A = [a_{ij}]$

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Choose the correct answer from the options given below:

CUET Mathematics 2023 22 May Shift 3 PYQs

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