The system of equations are ,
and
.
Convert the equations into matrices form ,
where is coefficient matrix,
is constant matrix and
is variable matrix.
Dimension of matrix is
.
Multiply each side by .
The value of .
Apply identity property of matrix: .
.
\
First find .
Form the matrix .
Use row operations to transform
into reduced row echelon form.
.
Inverse matrix is.
\
Substitute in equation (1).
The solution in ordered pair form is .
\
.