Chapter 1.4 ElementaryMatrices

If an elementary row operation is performed on in to

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Unformatted text preview: s performed on In to obtain the elementary matrix E , then the corresponding inverse operation performed on E yields In . Elementary Row Operation Interchange Rows i and j Multiply Row i by c = 0 Add c Times Row i to Row j Inverse Operation Interchange Rows i and j 1 Multiply Row i by c Add = −c Times Row i to Row j Outline Elementary Matrix Inverse of an Elementary Matrix The Inverse of a Matrix The Inverse of an Elementary Matrix Theorem If E is an elementary matrix, then E is invertible and E −1 is an elementary matrix. Proof. Since E is an elementary...
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This note was uploaded on 02/10/2014 for the course MATH 2270 taught by Professor Kenyonj.platt during the Spring '14 term at Snow College.

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