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Matrices and Determinants question

2025 · 2 Apr · Shift 2 · Q31

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JEE Main
Mathematics
Matrices and Determinants
2025 · 2 Apr · Shift 2 · Q31

Matrices and Determinants question

2025 · 2 Apr · Shift 2 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A

be a

3 \times 3

real matrix such that

A^2(A-2 I)-4(A-I)=O

, where

I

and

O

are the identity and null matrices, respectively. If

A^5=\alpha A^2+\beta A+\gamma I

, where

\alpha, \beta

, and

\gamma

are real constants, then

\alpha+\beta+\gamma

is equal to :

A
76
B
12
C
4
D
20

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