Use row operations on an sugmented matrix to solve the follo

Use row operations on an sugmented matrix to solve the following system of equations.

x-3y+3z=7

x+2y-z=-2

3x+2y+4z=5

Clear instructions on each step would be greatly appreciated.

Solution

Your matrix

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

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by 5

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 19/5

Eliminate the 3rd column

Solution set:

x = 1

y = -1

z = 1