Let $\alpha \in End(V)$, where $V$ is a finite-dimensional inner product space. If $||\alpha (v)|| = ||v||$ for all v in some orthonormal basis of V, must $\alpha$ be unitary? Either prove or provide a counterexample.
2026-03-31 07:09:46.1774940986
Let be an endomorphism where is a finite dimensional inner product space If in some orthonormal basis of V mus be unitary?
117 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in VECTOR-SPACES
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