对于线性方程组 (1) 证明:当常数a1,a2,a3,a4两两不等时,方程组无解; (2) 设a1=a3=k,a2=a4=-k(k≠0)时,β1
对于线性方程组
x1+a1x2+a1*a1x3=a1*a1*a1 x1+a2x2+a2*a2x3=a2*a2*a2 x1+a3x2+a3*a3x3=a3*a3*a3 x1+a4x2+a4*a4x3=a4*a4*a4
(1) 证明:当常数a1,a2,a3,a4两两不等时,方程组无解;
(2) 设a1=a3=k,a2=a4=-k(k≠0)时,β1=(-1,1,1)T,β2=(1,1,-1)T是方程组的两个解,写出此方程组的通解.