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Matrices and Determinants question

2021 · 25 Feb · Shift 2 · Q37

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JEE Main
Mathematics
Matrices and Determinants
2021 · 25 Feb · Shift 2 · Q37

Matrices and Determinants question

2021 · 25 Feb · Shift 2 · Q37

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If for the matrix,

A = \left[ {\begin{matrix} 1 & { - \alpha } \\ \alpha & \beta \\ \end{matrix} } \right]

,

A{A^T} = {I_2}

, then the value of

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

is :

A
3
B
2
C
1
D
4

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