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Linear Algebra - Elimination Matrix when Permutation Needed
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[QUOTE="YoshiMoshi, post: 5443153, member: 541098"] [h2]Homework Statement [/h2] I feel like I should know the answer to this, so I believe this to be an easy question. Say have matrix A, and I store the elimination matrices E_1,1 E_2,1 etc. and somewhere in the elimination process I have to use a permutation matrix to swap rows. My question is when I find the the final elimination matrix in which I multiply together all elimination matrices I used to get down to reduce row echelon form, do I also multiply by the permutation matrix? Example: I have [A] and than I multiply by E_1,1. Then I multiply by E_2,1 Then I multiply by P_4,3 and am now in reduce row ecehlon form when I go to find E is it E = P_4,3 * E_2,1 * E_1,1 or is it just E = E_2,1 * E_1,1 Thanks for any help. [h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] [/QUOTE]
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Linear Algebra - Elimination Matrix when Permutation Needed
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