Let T: Rm → R" and S: RRP be linear transformations. Then So T: RRP is a linear transformation. Moreover, their standard matrices are related by [So T] = [S][T]. Verify the result of the theorem above for the following S and T by finding the matrix of S o 7 by direct substitution and by matrix multiplication of [S][T]. 8-22-2-43 X3 (a) by direct substitution (b) by matrix multiplication
Let T: Rm → R" and S: RRP be linear transformations. Then So T: RRP is a linear transformation. Moreover, their standard matrices are related by [So T] = [S][T]. Verify the result of the theorem above for the following S and T by finding the matrix of S o 7 by direct substitution and by matrix multiplication of [S][T]. 8-22-2-43 X3 (a) by direct substitution (b) by matrix multiplication
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 55EQ
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