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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 Spring '14
 KenyonJ.Platt
 Linear Algebra, Algebra, Matrices, Invertible matrix, Elementary matrix, elementary row operations

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