In terms of Linear algebra. Please note all the parts for readability 5.) Let B = {(1,1, –1), (1,–1,1), (-1,1,1)}, and B' = {(1,0,0), (0,1,0), (0,0,1)} be bases for R3, and let3-121112A =212522-be the matrix for T: R3 → R3 relative to B.a.) Find the transition matrix P from B' to B.b.) Use the matrices P and A to find [v]B and [T(v)]B where [v]p' = [2 1 1]"c.) Find P-1 and A' (the matrix for T relative to B'd.) Find [T(v)]B, two ways.

Answered: Image /qna-images/answer/1d165b81-0567-49ec-84f3-ce78c6472504.jpg

5.) Let B = {(1,1, –1), (1,–1,1), (-1,1,1)}, and B' = {(1,0,0), (0,1,0), (0,0,1)} be bases for R³, and let 3 -1 A = 2 1 1 be the matrix for T: R3 → R³ relative to B. a.) Find the transition matrix P from B' to B. b.) Use the matrices P and A to find [v]g and [T(v)]B where [v]p' = [2 1 1]" c.) Find P-1 and A' (the matrix for T relative to B' d.) Find [T(v)]B, two ways. HIN112N5IN

5.) Let B = {(1,1, –1), (1,–1,1), (-1,1,1)}, and B' = {(1,0,0), (0,1,0), (0,0,1)} be bases for R³, and let 3 -1 A = 2 1 1 be the matrix for T: R3 → R³ relative to B. a.) Find the transition matrix P from B' to B. b.) Use the matrices P and A to find [v]g and [T(v)]B where [v]p' = [2 1 1]" c.) Find P-1 and A' (the matrix for T relative to B' d.) Find [T(v)]B, two ways. HIN112N5IN

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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...

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