Mathematics · Matrices
Let A = ⌈ a b ⌉ ⌊ b -a ⌋, where a, b are non-zero real numbers. If M = A2m for some positive integer m, then which of the following is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1M = (a2m + b2m) I
- 2M = (a2 + b2)m I✓
- 3M = ⌈ a2m b2m ⌉ ⌊ b2m -a2m ⌋
- 4M = (am + bm) I
Correct answer
M = (a2 + b2)m I
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