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.
 Spring '14
 KenyonJ.Platt
 Linear Algebra, Algebra, Matrices

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