True False Problem

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.$)$

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.

If A and $B$ are both square matrices such that $AB$ equals $BA$ equals the identity matrix, then $B$ is the inverse matrix of