Assume A is a 3 x 3 matrix with |A| ≠ 0. Show that (AT)-1= A by using your own example. Hint : If |A| ≠ 0, then A has an inverse A-1

Question

I dont know what is (A^T)^-1 means

Answer 1

A^T means switch the columns and rows, leaving the diagonal the same

1 0 0 has a transpose of 1 0 0

0 1 1 0 1 1

0 1 0 0 1 0