Solve linear system of equations ?

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Answer 1 · 2016-09-30T14:26:18

$x_{1} = 0, x_{2} = - 1, x_{3} = - 1, x_{4} = 2$ $x_1=0,x_2=-1,x_3=-1,x_4=2$

Supposing that my understanding of the problem is the right one,

Calling

$M_1 = ((1, 1, 1, 1),(2, -1, -1, -1))$ and $b_1 = ((0),(0))$

$M_2 = ((1, 1, 2, 2),(1, 2, 2, 1))$ and $b_2=((7),(4))$

and

$w = (1,1,1,1)^T$
$V = (x_1,x_2,x_3,x_4)^T$ we have

$S_1->M_1 cdot X = b_1$ and
$S_2->M_2 cdot (X+w)=b_2$

Solving the system

$((M_1),(M_2))cdotX = ((b_1),(b_2-M_2cdot w))$ we obtain

$x_1=0,x_2=-1,x_3=-1,x_4=2$