Assume dim V = dim W = n. Let a be an ordered basis of V, and B an ordered basis of W a) MBa(T) is an invertible matrix, for every isomorphism T : V → W. TRUE FALSE b) M3a(T) is an invertible matrix, for every invertible linear transformation T : V → W. TRUE FALSE

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
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Are these true or false? Please explain

Assume dim V = dim W = n. Let a be an ordered basis of V, and B an ordered basis of W
a) MBa(T) is an invertible matrix, for every isomorphism T :V → W.
TRUE
FALSE
b) MBa(T) is an invertible matrix, for every invertible linear transformation T : V –→ W.
TRUE
FALSE
Transcribed Image Text:Assume dim V = dim W = n. Let a be an ordered basis of V, and B an ordered basis of W a) MBa(T) is an invertible matrix, for every isomorphism T :V → W. TRUE FALSE b) MBa(T) is an invertible matrix, for every invertible linear transformation T : V –→ W. TRUE FALSE
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