6. Let v₁ = (4,6,7), v₂ = (0,1,1), and v₁ = (0,1,2), and let u₁, us, and u, be the vectors given in Exercise 50. a. Find the transition matrix from (V1, V2, V3) to {u, u₂, us). b. If x = 2v+3v2-4vs, determine the coordinates of x with respect to {u, u₂, us}.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.4: Transistion Matrices And Similarity
Problem 13E
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6. Let v₁ = (4,6,7), v₂ = (0,1,1), and v₁ = (0,1,2),
and let u₁, us, and u, be the vectors given in Exercise
50.
a. Find the transition matrix from (V1, V2, V3) to
{u, u₂, us).
b. If x = 2v+3v2-4vs, determine the
coordinates of x with respect to {u, u₂, us}.
Transcribed Image Text:6. Let v₁ = (4,6,7), v₂ = (0,1,1), and v₁ = (0,1,2), and let u₁, us, and u, be the vectors given in Exercise 50. a. Find the transition matrix from (V1, V2, V3) to {u, u₂, us). b. If x = 2v+3v2-4vs, determine the coordinates of x with respect to {u, u₂, us}.
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