Find the transition matrix from B to B'. B = {(-2, -1, 1), (0, 4, 0), (1, 3, -3)}, B' = {(1, 0, 0), (0, 1, 0), (0, o, 1)}

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 13CM
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Find the transition matrix from B to B'.
B = {(-2, –1, 1), (0, 4, 0), (1, 3, -3)}, B' = {(1, 0, 0), (0, 1, 0), (0, o, 1)}
Transcribed Image Text:Find the transition matrix from B to B'. B = {(-2, –1, 1), (0, 4, 0), (1, 3, -3)}, B' = {(1, 0, 0), (0, 1, 0), (0, o, 1)}
Use a software program or a graphing utility with matrix capabilities to find the transition matrix from B to B'.
B = {(1, 2, 4), (-1, 2, 0), (2, 4, 0)}, B' = {(0, 2, 1), (-2, 1, 0), (1, 1, 1)}
-7
11
-1
-3
10
-6
|-10
Transcribed Image Text:Use a software program or a graphing utility with matrix capabilities to find the transition matrix from B to B'. B = {(1, 2, 4), (-1, 2, 0), (2, 4, 0)}, B' = {(0, 2, 1), (-2, 1, 0), (1, 1, 1)} -7 11 -1 -3 10 -6 |-10
Expert Solution
Step 1

To find the transition matrix between two bases , first write bases in matrix form and then put them into formula for transition matrix we get the required answer as follows :

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