Thread: Matrix Proof

Hey, I've been trying to prove that the inverse of the transpose of a matrix, is equal to the transpose of the inverse of a matrix, i.e.



(also, some help on how to use TEX would be useful...)

Are you allowed to assume that ?

If so, take the transpose of and postmultiply by

For the LaTex input, use the Go Advanced option and 'press' the button and between the two [Tex] brackets type the line in as

(A^{T})^{(-1)}=(A^{(-1)})^{T}.

The ^ symbol translates as 'to the power of', and the power is then closed within the curley brackets.

by definition an inverse for an nxn matrix A is an nxn matrix B such that AB = I.

and....