k1x1+k21x2+…+k1x=0 k1,x1+k,x,+…+k,x=0 k1x1+k2xx2+…+knx=0 kk 由于 k 所以方程组只有零解x1=x2=…=x=0所以b,b2,…,b线性无关, 证毕7        + + + = + + + = + + + = 0 0 0 1 1 2 2 12 1 22 2 2 11 1 21 2 1 r r rr r r r r r k x k x k x k x k x k x k x k x k x     由于 0 1 2 12 22 2 11 21 1  r r rr r r k k k k k k k k k       所以方程组只有零解 x1 = x2 == xr = 0.所以 b b br , , , 1 2  线性无关, 证毕