I have tried many ways to solve an issue, but I have not had a good success. The question is one that follows:

A is a matrix of order 3x3. B is a matrix of order 2X3

A=B^T*B (A is equal B transpose multiplied by B)

Calculate the determinant of A^2 for any matrix A of order 3X3 .

I tried to be as direct as possible. I thank you for your help!