If A = diag(2, -1, 3), then A³ equals:
If A = diag(2, -1, 3), then A³ equals:
- A. diag(6, -3, 9)
- B. diag(8, -1, 27)
- C. diag(8, 1, 27)
- D. diag(2, -1, 3)
Answer: B) diag(8, -1, 27)
Explanation: For a diagonal matrix, raising the matrix to a power n is equivalent to raising each diagonal element to the power n. 2³ = 8, (−1)³ = −1, 3³ = 27.
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