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Matrices and Determinants question

2024 · 9 Apr · Shift 2 · Q44

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JEE Main
Mathematics
Matrices and Determinants
2024 · 9 Apr · Shift 2 · Q44

Matrices and Determinants question

2024 · 9 Apr · Shift 2 · Q44

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

B=\left[\begin{array}{ll}1 & 3 \\ 1 & 5\end{array}\right]

and

A

be a

2 \times 2

matrix such that

A B^{-1}=A^{-1}

. If

B C B^{-1}=A

and

C^4+\alpha C^2+\beta I=O

, then

2 \beta-\alpha

is equal to

A
16
B
10
C
8
D
2

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