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Matrices and Determinants question

2025 · 22 Jan · Shift 2 · Q34

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JEE Main
Mathematics
Matrices and Determinants
2025 · 22 Jan · Shift 2 · Q34

Matrices and Determinants question

2025 · 22 Jan · Shift 2 · Q34

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

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=\operatorname{adj}(\operatorname{adj}(2 A))

, then the value of

|B|+

trace

(B)

equals :

A
56
B
132
C
174
D
280

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