$\"\"$

\

The matrix equation form is $\"\"$ .

\

When, $\"\"$ .

\

Therefore solution matrix is $\"\"$ . $\"\"$

\

First find the determinant of A = ad $\"\"$ bc.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Therefore A^-1 exists. $\"\"$

\

The inverse of A is $\"\"$ .

\

Substitute a = 3, b = 6, c = 2, d = $\"\"$ and ad $\"\"$ bc = $\"\"$ .

\

$\"\"$ . $\"\"$

\

Substitute the values of $\"\"$ in the solution matrix $\"\"$ Multiply each side by $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ $\"\"$

\

The solution is $\"\"$ .