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Matrices and Determinants question

2023 · 11 Apr · Shift 1 · Q33

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JEE Main
Mathematics
Matrices and Determinants
2023 · 11 Apr · Shift 1 · Q33

Matrices and Determinants question

2023 · 11 Apr · Shift 1 · Q33

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

\mathrm{A}

be a

2 \times 2

matrix with real entries such that

\mathrm{A}'=\alpha \mathrm{A}+\mathrm{I}

, where

\alpha \in \mathbb{R}-\{-1,1\}

. If

\operatorname{det}\left(A^{2}-A\right)=4

, then the sum of all possible values of

\alpha

is equal to :

A
2
B
$\frac{3}{2}$
C
0
D
$\frac{5}{2}$

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