JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If for the matrix, \(A =\left[\begin{array}{cc}1 & -\alpha \\ \alpha & \beta\end{array}\right], AA ^{ T }= I _{2},\) then the value of \(\alpha^{4}+\beta^{4}\) is ....... .
- A \(4\)
- B \(2\)
- C \(3\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
\(A =\left[\begin{array}{cc}1 & -\alpha \\ \alpha & \beta\end{array}\right] \quad AA ^{ T }= I _{2}\)…
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