(a) Let S be the standard ordered basis of R3. Determine the change of basis matrix from B to S. Let B = {(1,2,1), (1,1,2), (1,2,-1)} be a ordered basis. (b) Use (a) to find m(T)S,S
(a) Let S be the standard ordered basis of R3. Determine the change of basis matrix from B to S. Let B = {(1,2,1), (1,1,2), (1,2,-1)} be a ordered basis. (b) Use (a) to find m(T)S,S
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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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(a) Let S be the standard ordered basis of R3. Determine the change of basis matrix from B to S. Let B = {(1,2,1), (1,1,2), (1,2,-1)} be a ordered basis.
(b) Use (a) to find m(T)S,S
![Let T: R³ R³ be the linear transformation defined by
for all (x, y, z) = R³.
T(x, y, z) = (3x − 6y + 5z, x – 2y + z, 2z)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7360749-eb17-423e-8aff-6fff1b07e85c%2Feac56632-5542-4eb3-86f3-515266578b05%2Fur8xk9p_processed.png&w=3840&q=75)
Transcribed Image Text:Let T: R³ R³ be the linear transformation defined by
for all (x, y, z) = R³.
T(x, y, z) = (3x − 6y + 5z, x – 2y + z, 2z)
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