If A,B 3 x 3 matrix. If $\det(A) = 3, \det(B) = 2$. Find the determinant of the following:
$(2A^{-1}), 3(B)^{-1}, (5A)B^{-1}$
Respectively
$\frac{2^3}{3}, \frac{3^3}{2}, \frac{5^3}{2}$
Is that right?
If A,B 3 x 3 matrix. If $\det(A) = 3, \det(B) = 2$. Find the determinant of the following:
$(2A^{-1}), 3(B)^{-1}, (5A)B^{-1}$
Respectively
$\frac{2^3}{3}, \frac{3^3}{2}, \frac{5^3}{2}$
Is that right?
The first two are correct but $\det(5AB^{-1}) = \frac{3 \cdot 5^3}{2}$.