Question

用消元法解下列非齐次线性方程组（1)4x1+2x2-x3=2 (2)3x1-x2+2x3=10 (3)11x1+3x2=

Answer 1

增广矩阵 =

4 2 -1 2

3 -1 2 10

11 3 0 8

r2+2r1

4 2 -1 2

11 3 0 14

11 3 0 8

r3-r2

4 2 -1 2

11 3 0 14

0 0 0 -6

所以 r(A)=2≠3=r(A,b)

故方程组无解.