Let V be an inner product space, and let W be a finite-dimensional subspace of V. If x $ W, prove that there exists y e V such that y e W but (x, y) + 0. Hint: Use Proposition 6.6.
Let V be an inner product space, and let W be a finite-dimensional subspace of V. If x $ W, prove that there exists y e V such that y e W but (x, y) + 0. Hint: Use Proposition 6.6.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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