Given a vector space V, define what it means for a function (, ·) : V × V → V to be an inner product on V. Then, define what it means for a subset S of V to be an orthogonal set with respect to this inner product. Finally, define what it means for a linear transformation T : V –→ V to preserve inner products.

Given a vector space V, define what it means for a function (, ·) : V × V → V to be an inner product on V. Then, define what it means for a subset S of V to be an orthogonal set with respect to this inner product. Finally, define what it means for a linear transformation T : V –→ V to preserve inner products.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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