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Next question -4b3 {b₁,b2,b3} be bases for a vector space V, and suppose a₁ = 6b₁ b₂, a₂ = − b₁ + 5b₂ + b3, a3 = b₂ − 4 Let A = = {ª₁,ª₂,a3} and B = . a. Find the change-of-coordinates matrix from A to B. b. Find [x]g for x = 5a₁ +6a₂ + a3. a. P = B-A b. [x]B = (Simplify your answer.)

Next question -4b3 {b₁,b2,b3} be bases for a vector space V, and suppose a₁ = 6b₁ b₂, a₂ = − b₁ + 5b₂ + b3, a3 = b₂ − 4 Let A = = {ª₁,ª₂,a3} and B = . a. Find the change-of-coordinates matrix from A to B. b. Find [x]g for x = 5a₁ +6a₂ + a3. a. P = B-A b. [x]B = (Simplify your answer.)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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Next question == be bases for a vector space V, and suppose a₁ = 6b₁ b₂, a₂ = − b₁ +5b₂ + b3, a3 = b₂ - 4b3. {b₁,b2,b3} Let A = {a₁,a2,a3} and B = a. Find the change-of-coordinates matrix from A to B. b. Find [x] for x = 5a₁ +6a₂ + a3. a. P = B-A b. [x]B (Simplify your answer.)
Transcribed Image Text:Next question == be bases for a vector space V, and suppose a₁ = 6b₁ b₂, a₂ = − b₁ +5b₂ + b3, a3 = b₂ - 4b3. {b₁,b2,b3} Let A = {a₁,a2,a3} and B = a. Find the change-of-coordinates matrix from A to B. b. Find [x] for x = 5a₁ +6a₂ + a3. a. P = B-A b. [x]B (Simplify your answer.)
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