Solve the system by row reduction and choose a matching solu

Solve the system by row reduction and choose a matching solution set from the given choices or choose \"inconsistent\" if there is no solution. [1 -1 -1 2 -1 1 0 -1 1 -1 1 0 -1 1 3 -4][x y z u] = [1 -2 3 1] Select one: a. x = 2+s+t, y = s, z = -t, u = t b. x = -2 + s-t, y = s, z=-2+t, u = t d. x = 2+s-t, y = s, z = 1+t, u=t e. Inconsistent

Solution

Your matrix

Find the pivot in the 1st column in the 1st row

Eliminate the 1st column

Find the pivot in the 3rd column in the 2nd row (inversing the sign in the whole row)

Eliminate the 3rd column

Hide solution

Solution set:

x = 2 + s - t

z = 1 + t

y = s, u= t

	X1	X2	X3	X4	b
1	1	-1	-1	2	1
2	-1	1	0	-1	-2
3	1	-1	1	0	3
4	-1	1	3	-4	1