[問題]線代問題...希望高手解惑..謝謝
由 cloudsea 於 星期四 四月 13, 2006 1:12 pm
#ed_op#DIV#ed_cl#Suppose A,B∈M#ed_op#SUB#ed_cl#m*n#ed_op#/SUB#ed_cl#(R),a nonsingular Q∈M#ed_op#SUB#ed_cl#m*m#ed_op#/SUB#ed_cl#(R),and A=QB . Prove or disprove : if B and C are reduced row echelon form and there exists a nonsingular P∈M#ed_op#SUB#ed_cl#m*m#ed_op#/SUB#ed_cl#(R) such that A=PC,thenB=C 我的想法是TRUE......想說B=Q^(-1)*A and C=P^(-1)*A #ed_op#SUP#ed_cl# #ed_op#SUB#ed_cl#且#ed_op#/SUB#ed_cl##ed_op#/SUP#ed_cl##ed_op#SUB#ed_cl# #ed_op#/SUB#ed_cl#B,C為簡約列梯形,A的簡約列梯形唯一所以B=C 但感覺這樣想怪怪的...希望有高手可以幫小弟解惑...謝謝..#ed_op#/DIV#ed_cl#