Mathematics · Linear Algebra
Let A ∈ M3(ℝ) and let X = {C ∈ GL3(ℝ) | CAC-1 is triangular}. If X = ∅ (the empty set), then which of the following must be true about A?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A has no real eigenvalue✓
- 2A has three distinct real eigenvalues
- 3A is not diagonalizable over &complex;
- 4A is diagonalizable over &complex;
Correct answer
A has no real eigenvalue
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