Linear algebra is killing me...please help!!!!
4. Recall from lectures that if [imath]A[/imath] and [imath]B[/imath] are matrices with [imath]AB[/imath] defined, then [imath](AB)^T = B^T A^T[/imath]. Use this property to prove that [imath]A[/imath] is invertible if and only if [imath]A^T[/imath] is invertible and, in that case, [imath](A^{-1})^T = (A^T)^{-1}[/imath].
4. Recall from lectures that if [imath]A[/imath] and [imath]B[/imath] are matrices with [imath]AB[/imath] defined, then [imath](AB)^T = B^T A^T[/imath]. Use this property to prove that [imath]A[/imath] is invertible if and only if [imath]A^T[/imath] is invertible and, in that case, [imath](A^{-1})^T = (A^T)^{-1}[/imath].
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