Given that A is a matrix of order 5x3 and B is a matrix of order 3x5, then what is the value of |C| if A x B = C?

Question

Let A be a 2x3 matrix and B a 3x2 matrix. If AxB and BxA both defined and determinant of the matrix AxB is 4, then evaluate the determinant of the matrix BxA.

Answer 1

C is a matrix of 5x5