Proof: Any non-singular matrix A of order n and the identity matrix /a have the same order and same rank. Hence A ~ /a. Therefore, by the Theorem 4.4 1 , there exist elementary matrices Pj and Qj such that A=PsP5-\...P\lnQ\Q1.. .Q, . 1 0 4 5 0 3 0anbsp;...
|Title||:||Engineering Mathematics I: For Uptu|
|Publisher||:||Pearson Education India - 2010-09-01|