be the bases of V, W and U respectively. If t: V→ W, s : W→U are linear transfor-

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 24EQ
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Theorem 3. Let V, W, U be vector spaces over the same field F. Let
j=1
and {u,}, be the bases of V, W and U respectively. Ift : V→ W, s : W →U are linear transfor-
mations, and A and B are the matrix relative to t and s respectively. Then the matrix relative to
sot is B A.
Transcribed Image Text:Theorem 3. Let V, W, U be vector spaces over the same field F. Let j=1 and {u,}, be the bases of V, W and U respectively. Ift : V→ W, s : W →U are linear transfor- mations, and A and B are the matrix relative to t and s respectively. Then the matrix relative to sot is B A.
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