Question:
Let α and β be real numbers. Consider a \(3 \times 3\) matrix A such that \(A^2 = 3A + \alpha I\). If \(A^4 = 21A + \beta I\), then
Let α and β be real numbers. Consider a \(3 \times 3\) matrix A such that \(A^2 = 3A + \alpha I\). If \(A^4 = 21A + \beta I\), then
Updated On: Jun 21, 2024
- α = 1
- α=4
- β=8
- β=-8
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The Correct Option is D
Solution and Explanation
The correct answer is β=-8
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