Suppose A,B∈Mm*n(R),a nonsingular Q∈Mm*m(R),and A=QB . Prove or disprove : if B and C are reduced row echelon form and there exists a nonsingular P∈Mm*m(R) such that A=PC,thenB=C 我的想法是TRUE......想說B=Q^(-1)*A and C=P^(-1)*A 且 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..