2. Let T: R2 () - ()₁ = () = G). Let S R2 R2 be the linear transformation that scales vectors in the x-direction by 3 and that scales vectors in the y-direction by -2. R2 be the linear transformation satisfying T and T (a) Find the standard matrix of T. (b) Find the standard matrix of S. (c) Find an explicit formula for the transformation R: R2 R2 that satisfies To R = S. That is, find R
2. Let T: R2 () - ()₁ = () = G). Let S R2 R2 be the linear transformation that scales vectors in the x-direction by 3 and that scales vectors in the y-direction by -2. R2 be the linear transformation satisfying T and T (a) Find the standard matrix of T. (b) Find the standard matrix of S. (c) Find an explicit formula for the transformation R: R2 R2 that satisfies To R = S. That is, find R
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 12CM
Related questions
Question
![() = (1) and 7(₂)=()
T
(1).
1
2
R² be the linear transformation that scales vectors in the x-direction by 3
2. Let T: R2
Let S R²
:
and that scales vectors in the y-direction by −2.
R2 be the linear transformation satisfying T
(a) Find the standard matrix of T.
(b) Find the standard matrix of S.
(c) Find an explicit formula for the transformation R : R² → R² that satisfies T o R = S.
That is, find R
X
y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F293ec77a-bb0f-4498-a317-90c98547c742%2F07560681-bc90-4196-b27f-4fdbb509bdd2%2F1fv3i09_processed.jpeg&w=3840&q=75)
Transcribed Image Text:() = (1) and 7(₂)=()
T
(1).
1
2
R² be the linear transformation that scales vectors in the x-direction by 3
2. Let T: R2
Let S R²
:
and that scales vectors in the y-direction by −2.
R2 be the linear transformation satisfying T
(a) Find the standard matrix of T.
(b) Find the standard matrix of S.
(c) Find an explicit formula for the transformation R : R² → R² that satisfies T o R = S.
That is, find R
X
y
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