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Matrices and Determinants question

2023 · 29 Jan · Shift 1 · Q29

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JEE Main
Mathematics
Matrices and Determinants
2023 · 29 Jan · Shift 1 · Q29

Matrices and Determinants question

2023 · 29 Jan · Shift 1 · Q29

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

\alpha

and

\beta

be real numbers. Consider a 3

\times

3 matrix A such that

A^2=3A+\alpha I

. If

A^4=21A+\beta I

, then

A
$\alpha=1$
B
$\alpha=4$
C
$\beta=8$
D
$\beta=-8$

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