Question

初等变换解下列方程组 2x+3y+z=4 x-2y+4z=-5 3x+8y-2z=13 4x-y+9z=-6 线性代数题

Answer 1

增广矩阵 (A,b) =

[2 3 1 4]

[1 -2 4 -5]

[3 8 -2 13]

[4 -1 9 -6]

行初等变换为

[1 -2 4 -5]

[0 7 -7 14]

[0 14 -14 28]

[0 7 -7 14]

行初等变换为

[1 -2 4 -5]

[0 1 -1 2]

[0 0 0 0]

[0 0 0 0]

r(A,b)=r(A)=2