Mathematics · Linear Algebra & Matrix Theory
Let M, N ∈ M3(&mathbb;C) be such that Trace(Mk) = Trace(Nk) for all 1 ≤ k ≤ 3. Which of the following statements is necessarily true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The minimal polynomials of M and N are the same
- 2The characteristic polynomials of M and N are the same✓
- 3M3 = N3
- 4M2 = N2
Correct answer
The characteristic polynomials of M and N are the same
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