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Elementary Linear Algebra (MindTap Course List)

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 16CM

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Consider the bases B=
{u1, u2} and B' = {uj, u½} for R², where
-(G} w-} «-[}, «-[-]
uj =
u2
%3D
(a) Find the transition matrix from B' to B.
(b) Find the transition matrix from B to B'.
(c) Compute the coordinate vector [w] g, where
3
-5
and compute [w]g'.
(d) Check your work by computing [w]g' directly.

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