Consider the bases B = {P₁, P₂} and B' = {91, 92} where P₁ = 6 + 3x; P₂ = 10 + 2x; q₁ = 2; q₂ = 3 + 2x. 91 92 a. Find the transition matrix from B' to B. b. Find the transition matrix from B to B'. C. Find the coordinate matrix [p]; if p = -4 + x. Find [p]' using the above results. d. Find [p]g directly. B
Consider the bases B = {P₁, P₂} and B' = {91, 92} where P₁ = 6 + 3x; P₂ = 10 + 2x; q₁ = 2; q₂ = 3 + 2x. 91 92 a. Find the transition matrix from B' to B. b. Find the transition matrix from B to B'. C. Find the coordinate matrix [p]; if p = -4 + x. Find [p]' using the above results. d. Find [p]g directly. B
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 18CM
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Consider the bases ?={?1,?2} and ?′={?1,?2} where
?1=6+3?; ?2=10+2?; ?1=2; ?2=3+2?.
a. Find the transition matrix from ?′ to ?.
b. Find the transition matrix from ? to ?′.
c. Find the coordinate matrix [?]? if ?=−4+?.
Find [?]?′ using the above results.
d. Find [?]?′ directly.
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