Mathematics · Linear Algebra
Let T: V → V be a normal operator on a finite-dimensional complex inner product space. Select the correct statement.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The eigenvalues of T are all real but T is not diagonalizable.
- 2T is unitarily diagonalizable but its eigenvalues can be complex.✓
- 3T is diagonalizable but its eigenvalues are purely imaginary.
- 4The eigenvalues of T are all real and T is unitarily diagonalizable.
Correct answer
T is unitarily diagonalizable but its eigenvalues can be complex.
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