Chapter 1.4 ElementaryMatrices

Example discuss the following elementary matrices e1

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Unformatted text preview: the following elementary matrices: E1 = In −2 0 01 , 001 E2 = 0 1 0 , 100 1 0 E3 = 0 0 0 1 0 7 0 0 1 0 0 0 0 1 Outline Elementary Matrix Inverse of an Elementary Matrix The Inverse of a Matrix Elementary Matrices and Elementary Row Operations Theorem If A is an m × n matrix and E is an elementary n × n matrix, then EA is the m × n matrix obtained by performing the same elementary row operation on A as required to obtain E from In . Example Demonstrate the 1 E = −2 0 theorem using: 00 1 2 −3 4 1 0 and A = 2 −1 0 3 01 2 2 1 −1 Outline Elementary Matrix Inverse of an Elementary Matrix The Inverse of a Matrix Inverse Elementary Matrix To each elementary row operation, there is an inverse operation. If an elementary row operation i...
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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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