If B is a vector in an inner product space, if Tis a linear transformation on that space, ond if f(a)=(B, Ta) for every vector a, then S is a linear functionol; find a S(a)=(a, B') for every a. vector B' such that

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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If B is a vector in an inner product space, if T is
o linear transformation on that space, ond if f(a)=(B, Ta) for every
vecror a, then f is a linear functionol; find a
S(a)=(a, B') for every a.
vector B' such thar
Transcribed Image Text:If B is a vector in an inner product space, if T is o linear transformation on that space, ond if f(a)=(B, Ta) for every vecror a, then f is a linear functionol; find a S(a)=(a, B') for every a. vector B' such thar
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