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Let A= {a,,a2,a3} and B= {b,.b2,b3} be bases for a vector space V, and suppose b, = 6a, -2a3, b2 =-a, +3a2, b3 =a, +a2 +5a3. a. Find the change-of-coordinates matrix from B to A. b. Find [x]A for x = b,-5b2 +5b3.- 1 a. P = A+B -2 0 5 12 b. [x]A = - 6 (Simplify your answers.) 12

Let A= {a,,a2,a3} and B= {b,.b2,b3} be bases for a vector space V, and suppose b, = 6a, -2a3, b2 =-a, +3a2, b3 =a, +a2 +5a3. a. Find the change-of-coordinates matrix from B to A. b. Find [x]A for x = b,-5b2 +5b3.- 1 a. P = A+B -2 0 5 12 b. [x]A = - 6 (Simplify your answers.) 12

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CR: Review Exercises
Problem 44CR
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Help needed in part B only thanks in advance

Question Let A= 3 {aq,a2,a3} and B= {b,.b2,b3} be bases for a vector space V, and suppose b, = 6a, - 2a3, b2 = -a, +3a2, b3 = a, +a2 +5a3. a. Find the change-of-coordinates matrix from B to A. b. Find [x]A for x=b, - 5b2 +5b3. a. P = A B 0 5 12 b. [x]A = -6 (Simplify your answers.) 12 Enter your answer in the edit fields and then click Check Answer.
Transcribed Image Text:Question Let A= 3 {aq,a2,a3} and B= {b,.b2,b3} be bases for a vector space V, and suppose b, = 6a, - 2a3, b2 = -a, +3a2, b3 = a, +a2 +5a3. a. Find the change-of-coordinates matrix from B to A. b. Find [x]A for x=b, - 5b2 +5b3. a. P = A B 0 5 12 b. [x]A = -6 (Simplify your answers.) 12 Enter your answer in the edit fields and then click Check Answer.
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