Solve using Gaussian Elimination Method w x y z 1 4w 3x

Solve using Gaussian Elimination Method w - x + y + z = -1 4w - 3x - 4y - 2z = 14 3w + x - 3y - z = 5 -w + 2x + 3y + z = -13

Solution

Your matrix

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

Eliminate the 1st column

Find the pivot in the 2nd column in the 2nd row

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 26

Eliminate the 3rd column

Make the pivot in the 4th column by dividing the 4th row by -16/13

Eliminate the 4th column

Solution set:

w = -1

x = -2

y = -4

z = 2

	X1	X2	X3	X4	b
1	1	-1	1	1	-1
2	4	-3	-4	-2	14
3	3	1	-3	-1	5
4	-1	2	3	1	-13