Theorem 8. Let B = {u, u,., u,} be an orthonormal basis of an inner product space V. Then a linear transformation t from V to an inner-product space V' is orthogonal if and only if the set {t (u), t (u2),..., t (u,)} is orthogonal in V'.
Theorem 8. Let B = {u, u,., u,} be an orthonormal basis of an inner product space V. Then a linear transformation t from V to an inner-product space V' is orthogonal if and only if the set {t (u), t (u2),..., t (u,)} is orthogonal in V'.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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