已知线性方程组(x1+x2+2X3+3X4=1;X1+3X2+6X3+X4=3;X1-5X2-10X3+9X4=a)
已知线性方程组(x1+x2+2X3+3X4=1;X1+3X2+6X3+X4=3;X1-5X2-10X3+9X4=a)
日期:2014-11-22 22:47:36 人气:1
x1+x2+2X3+3X4=1
X1+3X2+6X3+X4=3
X1-5X2-10X3+9X4=a
增广矩阵=
1 1 2 3 1
1 3 6 1 3
1 -5 -10 9 a
r2-r1,r3-r1
1 1 2 3 1
0 2 4 -2 2
0 -6 -12 6 a-1
r3+3r2,r2*(1/2),r1-r2
1 0 0 4 0
0 1 2 -1 1
0 0 0 0 a+5
所以 a=-5