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Matrices and Determinants question

2023 · 8 Apr · Shift 2 · Q31

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JEE Main
Mathematics
Matrices and Determinants
2023 · 8 Apr · Shift 2 · Q31

Matrices and Determinants question

2023 · 8 Apr · Shift 2 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If

A=\left[\begin{array}{cc}1 & 5 \\ \lambda & 10\end{array}\right], \mathrm{A}^{-1}=\alpha \mathrm{A}+\beta \mathrm{I}

and

\alpha+\beta=-2

, then

4 \alpha^{2}+\beta^{2}+\lambda^{2}

is equal to :

A
12
B
10
C
19
D
14

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