用初等变换将矩阵A=(2 -1 -1 1 2;1 1 -2 1 4;4 -6 2 -2 4;3 6 -9 7 9)化为最简形E
问题描述:
用初等变换将矩阵A=(2 -1 -1 1 2;1 1 -2 1 4;4 -6 2 -2 4;3 6 -9 7 9)化为最简形E
答
A=2 -1 -1 1 21 1 -2 1 44 -6 2 -2 43 6 -9 7 9r4-r1-r2,r3-2r1,r1-2r20 -3 3 -1 -61 1 -2 1 40 -4 4 -4 00 6 -6 5 3r4+2r1,r3*(-1/4),r1+3r3,r2-r30 0 0 2 -61 0 -1 0 40 1 -1 1 00 0 0 3 -9r1*(1/2),r3-r1,r4-3r10...