求向量组α1=(1,-1,0,4)α2=(2,1,5,6)α3=(1,-1,-2,0)α4=(3,0,7,14)极大无关组

问题描述:

求向量组α1=(1,-1,0,4)α2=(2,1,5,6)α3=(1,-1,-2,0)α4=(3,0,7,14)极大无关组

(a1,a2,a3,a4)=1 2 1 3-1 1 -1 00 5 -2 74 6 0 14r2+r1,r4-4r11 2 1 30 3 0 30 5 -2 70 -2 -4 2r2*(1/3),r1-2r2,r3-5r2,r4+2r21 0 1 10 1 0 10 0 -2 20 0 -4 4r3*(-1/2),r1-r3,r4+4r31 0 0 20 1 0 10 0 1 -10 0 0 0...