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. P-1 (r,s)= P (r,s) Property 4 : The inverse of a general permutation matrix is its transpose; i.e. P-1 = P T ....
View Full Document
This note was uploaded on 04/26/2010 for the course CEG 616 taught by Professor Taylor during the Winter '10 term at Wright State.
- Winter '10