Unformatted text preview: Let B = P (r,s) A . Then B is the same as A except that R r and R s are interchanged. I.e. Premultiplication swaps rows. Property 2 : Let A be a square matrix of order n and P (r,s) be an elementary permutation matrix of order n. Let B = AP (r,s). Then B is the same as A except that C r and C s are interchanged. I.e. Postmultiplication swaps columns. Property 3 : The inverse of an elementary permutation matrix is the elementary permutation matrix; i.e. P1 (r,s)= P (r,s) Property 4 : The inverse of a general permutation matrix is its transpose; i.e. P1 = P T ....
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 Winter '10
 Taylor
 Linear Algebra, Matrices, Invertible matrix, CN, elementary permutation matrix

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