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Let T: R →R' be a linear transformation such that if y E T(x). Write down a matrix in echelon form which could be the standard matrix of T. Explain why 4. Range(T) then there is a unique a e R such that y = your matrix works.

Let T: R →R' be a linear transformation such that if y E T(x). Write down a matrix in echelon form which could be the standard matrix of T. Explain why 4. Range(T) then there is a unique a e R such that y = your matrix works.

Elementary Linear Algebra (MindTap Course List)
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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Let T: R'→R' be a linear transformation such that if y E Range(T) then there is a unique a E R' such that y = T(r). Write down a matrix in echelon form which could be the standard matrix of T. Explain why 4. your matrix works.
Transcribed Image Text:Let T: R'→R' be a linear transformation such that if y E Range(T) then there is a unique a E R' such that y = T(r). Write down a matrix in echelon form which could be the standard matrix of T. Explain why 4. your matrix works.
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