1. Given: 1. Vector = (1,1,1) (in standard basis) 2. The linear transform (in standard basis) T: R→ R' where Tis defined as (х+у+г,2х-у-2г, 3х - у - г). [1 0 17 3. The new basis P=1 -1 0 which spans R 0 2 1 a) Write the transform matrix, A, associated with T b) What is the result when T acts on vector ? c) Write vector X in terms of the new basis, P. What is the change of basis matrix, P?
1. Given: 1. Vector = (1,1,1) (in standard basis) 2. The linear transform (in standard basis) T: R→ R' where Tis defined as (х+у+г,2х-у-2г, 3х - у - г). [1 0 17 3. The new basis P=1 -1 0 which spans R 0 2 1 a) Write the transform matrix, A, associated with T b) What is the result when T acts on vector ? c) Write vector X in terms of the new basis, P. What is the change of basis matrix, P?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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i need sol of these parts Asap. thankyou
![1. Vector i = (1,1,1) (in standard basis)
2. The linear transform (in standard basis) T: R→ R' where Tis defined as
(x+у+г,2х-у-2г, 3х- у- 2).
1. Given:
[1 0 1]
3. The new basis P=1 -1 0 which spans R
0 2 1
a) Write the transform matrix, A, associated with T
b) What is the result when T acts on vector ?
c) Write vector X in terms of the new basis, P. What is the change of basis matrix, P?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cd5d89c-4a08-4e09-9294-d87ceb85eb16%2Fc4598871-2369-4be9-ab86-a8174023087b%2F4oe2rl8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Vector i = (1,1,1) (in standard basis)
2. The linear transform (in standard basis) T: R→ R' where Tis defined as
(x+у+г,2х-у-2г, 3х- у- 2).
1. Given:
[1 0 1]
3. The new basis P=1 -1 0 which spans R
0 2 1
a) Write the transform matrix, A, associated with T
b) What is the result when T acts on vector ?
c) Write vector X in terms of the new basis, P. What is the change of basis matrix, P?
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