Consider the linear transformation T: R² R³ where T([:))-[] (a) Find the matrix which induces T with respect to the standard basis. (b) Find L() where = [3 -5]¹. 7. 3 -2 and T (:D)-[1] 0
Consider the linear transformation T: R² R³ where T([:))-[] (a) Find the matrix which induces T with respect to the standard basis. (b) Find L() where = [3 -5]¹. 7. 3 -2 and T (:D)-[1] 0
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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Plz answer the question in 20 mints very urgent plzzzzz
![7.
Consider the linear transformation T: R2 R3 where
T
¹([1]) = [
T([:]) -
3
and
<-2
0
(a) Find the matrix which induces T with respect to the standard basis.
(b) Find L() where = [35]¹.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67a3dcab-f9f1-42f3-b559-b5ff0c216e22%2F63677926-ea8c-4ed6-975a-de94bde1cac8%2F7q3c5xc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7.
Consider the linear transformation T: R2 R3 where
T
¹([1]) = [
T([:]) -
3
and
<-2
0
(a) Find the matrix which induces T with respect to the standard basis.
(b) Find L() where = [35]¹.
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