###### Exercise 6

Suppose that \(A\) and \(B\) are \(5\times5\) matrices such that \(\det A = -2\) and \(\det B = 5\text{.}\) Find the following determinants:

\(\det(2A)\text{.}\)

\(\det(A^3)\text{.}\)

\(\det(AB)\text{.}\)

\(\det(-A)\text{.}\)

\(\det(AB^{-1})\text{.}\)