Statement :

If and real numbers with then .

If and are matrices and must .

The statement is True.

If and real numbers with then , the same property applies for the matrices also.

Proof :

For the real numbers multiply both sides by the multiplicative inverse of not equal to .

Since which is the multiplicative identity then .

In the case of the matrices this is true as long as has an inverse.

The multiply both sides of with .

The statement is True.