If the nxn matrices E and F have the property that EF = I, then E and F commute. Explain why. Select the correct choice below. According the Invertible Matrix

Theorem, E and F both have columns that span R". So FE = EF. Thus, E and F commute. According the Invertible Matrix Theorem, E and F must be invertible and inverses. So FE =I and I EF. Thus, E and F commute. O C. According the Invertible Matrix Theorem, E and F must not be inversible and therefore cannot be inverses so FE 1 and = EF Thus E and F commute O D. According the Invertible Matrix Theorem, E and F must both be identity matrices. So F = I and E = 1; therefore, FE = EF. Thus, E and F commute.