100224_Matrices_Outline1to1

# 100224_Matrices_Outline1to1 - operation on In. The...

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Let A be an m × n matrix. Any one of the following three operations on the rows [columns] of A is called an elementary row [column] operation: 1 interchanging any two rows [columns] of A. (type 1) 2 multiplying any row [column] of A by a nonzero scalar.(type 2) 3 adding any scalar multiple of a row [column] of A to another row [column].(type 3) L An n × n elementary matrix is a matrix obtained by performing an elementary

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Unformatted text preview: operation on In. The elementary matrix is said to be of type 1, 2, or 3 according to whether the elementary operation performed on In is a type 1, 2, or 3 operation, respectively. Elementary matrices are invertible, and the inverse of an elementary matrix is an elementary matrix of the same type....
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## This note was uploaded on 01/19/2011 for the course MATH 121a taught by Professor Staff during the Winter '08 term at UC Irvine.

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100224_Matrices_Outline1to1 - operation on In. The...

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