Mathematics · Linear Algebra
Which of the following is correct about a diagonalizable operator T: V → V on a finite dimensional vector space V?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The operator T is necessarily symmetric.
- 2The only diagonalizable operators are those with eigenvalues 1.
- 3The minimal polynomial of T splits into distinct linear factors.✓
- 4All eigenvalues of T must be distinct.
Correct answer
The minimal polynomial of T splits into distinct linear factors.
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