Suppose that V is an inner product space and L: V V is an isometry, so

Question:

Suppose that V is an inner product space and L: V → V is an isometry, so ||L[v]|| = ||v|| for all v ∈ V. Prove that L also preserves the inner product: (L[v], L[w]) = (v, w).
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

Question Posted: