Show an example illustrating the theorem

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Show an example illustrating the theorem

 

Theorem 8. Let A be an mxn matrix and let an elementary row (column)
operation be performed on A to yield matrix B. Let E be the elementary
matrix obtained from Im(In) by performing the same elementary row
(column) operation as was performed on A. Then B = EA(B = AE)
Transcribed Image Text:Theorem 8. Let A be an mxn matrix and let an elementary row (column) operation be performed on A to yield matrix B. Let E be the elementary matrix obtained from Im(In) by performing the same elementary row (column) operation as was performed on A. Then B = EA(B = AE)
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