[1] 5 Let u₁ = , նշ = 5 , U3 = 2 (a) Find the transition matrix T corresponding to the change of basis from {e1, e2, e3} to {u₁, U2, U3} T= (b) Find the coordinates of the vector x = -2 with respect to the basis {u1, U2, u3} [X]U

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 13CM
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Let u1
=
, նշ = 5
5
, ն3 =
2
(a) Find the transition matrix T corresponding to the change of basis from {e1, e2, e3} to {u1, U2, u3}
T=
(b) Find the coordinates of the vector x =
E
-2 with respect to the basis {u₁, u2, u3}
[X]U =
Transcribed Image Text:Let u1 = , նշ = 5 5 , ն3 = 2 (a) Find the transition matrix T corresponding to the change of basis from {e1, e2, e3} to {u1, U2, u3} T= (b) Find the coordinates of the vector x = E -2 with respect to the basis {u₁, u2, u3} [X]U =
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