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Let T: Rm R and S: R RP be linear transformations. Then So T: Rm RP is a linear transformation. Moreover, their standard matrices are related by [So T] = [S][T]. Verify the theorem above by finding the matrix of S o T by direct substitution and by matrix multiplication of [S][T]. Y₁ +4Y₂ CHRICE*] = 2y₁ + y2

Let T: Rm R and S: R RP be linear transformations. Then So T: Rm RP is a linear transformation. Moreover, their standard matrices are related by [So T] = [S][T]. Verify the theorem above by finding the matrix of S o T by direct substitution and by matrix multiplication of [S][T]. Y₁ +4Y₂ CHRICE*] = 2y₁ + y2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let T: Rm R and S: R RP be linear transformations. Then So T: Rm RP is a linear transformation. Moreover, their standard matrices are related by [So T] = [S][T]. Verify the theorem above by finding the matrix of S o T by direct substitution and by matrix multiplication of [S][T]. +4₂ Q-R}X-***] + y2 (a) by direct substitution (b) by matrix multiplication
Transcribed Image Text:Let T: Rm R and S: R RP be linear transformations. Then So T: Rm RP is a linear transformation. Moreover, their standard matrices are related by [So T] = [S][T]. Verify the theorem above by finding the matrix of S o T by direct substitution and by matrix multiplication of [S][T]. +4₂ Q-R}X-***] + y2 (a) by direct substitution (b) by matrix multiplication
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