Need detailed sol of all parts, & i will like your answer on getting its complete. 2. Given1. Vector i = (1,–1,2) (in standard basis)2. The linear transform (in standard basis) T: R'-→R' where T is defined as(x- 3 y, x- y- z, y + 2z).[1 0-13. The new basis P =|3 4 -2 which spansR33 5-2a) Write the transform matrix, A, associated with Tb) What is the result when Tacts on vector X?c) What is the change of basis matrix?

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1. Vector = (1,-1,2) (in standard basis) 2. The linear transform (in standard basis) T: RR' where T is defined as (x- 3y, x - y - z, y + 2z). 2. Given [1 0 -1] 3. The new basis P =3 4 -2 which spans R 3 5 -2 a) Write the transform matrix, A, associated with T

1. Vector = (1,-1,2) (in standard basis) 2. The linear transform (in standard basis) T: RR' where T is defined as (x- 3y, x - y - z, y + 2z). 2. Given [1 0 -1] 3. The new basis P =3 4 -2 which spans R 3 5 -2 a) Write the transform matrix, A, associated with T

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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Question

Need detailed sol of all parts, & i will like your answer on getting its complete.

2. Given
1. Vector i = (1,–1,2) (in standard basis)
2. The linear transform (in standard basis) T: R'-→R' where T is defined as
(x- 3 y, x- y- z, y + 2z).
[1 0
-1
3. The new basis P =|3 4 -2 which spans
R3
3 5
-2
a) Write the transform matrix, A, associated with T
b) What is the result when Tacts on vector X?
c) What is the change of basis matrix?

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