Mathematics · Linear Algebra
Let X be a finite-dimensional inner product space over ℂ. Let T : X → X be any linear transformation. Which of the following statements is always true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If T is normal, then T is self-adjoint
- 2If T is normal, then T is unitary
- 3If T is self-adjoint, then T is normal✓
- 4If T is unitary, then T is self-adjoint
Correct answer
If T is self-adjoint, then T is normal
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