Question

How do you solve x+3z=−2, 2x+2y+z=4, and 3x+y−2z=5 using matrices?

Answer 1

Use row echelon form to reduce the matrix. Now, since rank of augmented matrix and the matrix containing the coefficients equals the number of variables, that means a unique solution exists. Reduce the matrix using row echelon form and get the unique solution. I hope this will help you.