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 trace (A)=3. If B={\adj}({\adj}(2 A)), then the value of |B|+{\trace}(B) equals [22 Jan 2025 Shift 2]

JEE Main 22 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 7 of 75

Marks: +1, -0

For a 3×3 matrix M, let trace (M) denote the sum of all the diagonal elements of M. Let A be a 3×3 matrix such that |A|=‌

and trace (A)=3. If B=adj(adj(2A)), then the value of |B|+trace(B) equals

[22 Jan 2025 Shift 2]

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