For a 3 × 3 matrix M, let trace(M) denote the sum of all the diag… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 22 January, Shift 2Inverse & Adjoint of a Matrix

For a $3 \times 3$ matrix $M$ , let trace( $M$ ) denote the sum of all the diagonal elements of $M$ . Let $A$ be a $3 \times 3$ matrix such that $|A| = \frac{1}{2}$ and $\text{trace}(A) = 3$ . If $B = \text{adj}(\text{adj}(2A))$ , then the value of $|B| + \text{trace}(B)$ equals:

A
$132$
B
$56$
C
$174$
D
$280$

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