Please help me answer this question showing ALL the steps Gi

Please help me answer this question showing ALL the steps.

Given that det(A) = 5, evaluate: det(- 4 A) det(A^-1) det(A^2) det (A^T) det([3 A^-1]^T)

Solution

det (A) = 5

A.

det (-4A) = -4*det (A) = -4*5 = -20

B.

det (A^-1) = 1/det A = 1/5

C.

det (A^2) = (det A)*(det A) = 5*5 = 25

D.

det A^T = det A = 5

E,

det (3*A^-1)^T) = 3*det ((A^-1)^T) = 3*det (A^-1) = 3*(1/5) = 3/5 = 0.6