Chapter 1.4 ElementaryMatrices

Proof since e is an elementary matrix there is an

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Unformatted text preview: matrix, there is an elementary row operation that one can perform on In to obtain E . Let E be the elementary matrix obtained by performing the inverse operation on In . EE = In and E E = In (Previous Theorem). E = E −1 . Outline Elementary Matrix Inverse of an Elementary Matrix The Inverse of a Matrix Example Example Demonstrate each inverse operation on I3 after the following elementary row operations are performed on I3 . 1 Multiply row 2 by 3. 2 Interchange rows 2 and 3. 3 Add −2 times row 1 to row 3. Add 2...
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