🛠️ JEE➗ Maths

Let \(\alpha\) and \(\beta\) be real numbers. Consider \(3 \times 3\) matrix \(A\) such that \(A^2=3 A+\alpha I\). If \(…

Q1

Let \(\alpha\) and \(\beta\) be real numbers. Consider \(3 \times 3\) matrix \(A\) such that \(A^2=3 A+\alpha I\). If \(A^4=21 A+\beta I\), then

[JEE Main 2023, 29 Jan (Shift 1)]

a

\(\alpha=1\)

b

\(\alpha=4\)

c

\(\beta=8\)

d

\(\beta=-8\)

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