$\"\"$

The matrices are $\"\"$ and $\"\"$ .

If $\"\"$ and $\"\"$ are inverses, then $\"\"$

Find the product $\"\"$ .

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

$\"\"$ (Distibute the scalar: $\"\"$ )

$\"\"$ (Simplify)

Find the product $\"\"$ .

$\"\"$ (Substitute $\"\"$ and $\"\"$ )

$\"\"$ (Distibute the scalar: $\"\"$ )

$\"\"$ (Simplify)

Since $\"\"$ , they are inverses to each other.

$\"\"$

The matrices are inverses.