Enter T or F depending on whether the statement is true or false. (You must enter T or F -- True and False will not work.)

 1. If A and B are both square matrices such that AB equals BA equals the identity matrix, then B is the inverse matrix of A.
 2. If $AX = B$ represents a system of linear equations and $A^{-1}$ exists, then the product $A^{-1}B$ gives the solution to the system.