Question

Let A be a 2 x 2 matrix
The determinant of A^2 is nonnegative
T or F ?
Please, help

Answer 1

@Empty

Answer 2

Hint :

For A, B square matrices,
det(AB) = det(A)*det(B)

Answer 3

Yes!! that is what I want!!! thanks a lot. I calculate general A^2 and find its determinant. It gave me the way how to prove it but I need the shorter way. Again, thank you so so so much.