Given that set B = {(1, 2, -1), (-1,-1,2), (1, -1, -3)} is a basis of R³. i. What is the transition matrix which will change bases from B to the standard basis of R³? ii. What is the transition matrix that will change bases from the standard basis of R³ to B.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Given that set B = {(1, 2, −1), (-1, −1, 2), (1,−1, −3)} is a basis of R³.
i. What is the transition matrix which will change bases from B to the standard basis of R³?
ii. What is the transition matrix that will change bases from the standard basis of R³ to B.
Transcribed Image Text:Given that set B = {(1, 2, −1), (-1, −1, 2), (1,−1, −3)} is a basis of R³. i. What is the transition matrix which will change bases from B to the standard basis of R³? ii. What is the transition matrix that will change bases from the standard basis of R³ to B.
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