Find the general solution of the system whose augmented matr

Find the general solution of the system whose augmented matrix is (1 1 1 2 3 0 0 4 2 2 2 1).

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 10

Eliminate the 3rd column

Solution set:

x1 = 6/5

x2 = 2/5

x3 = -1/10

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