Box all final answers. little to no work will reccive little to no credit! i. (5 points) let a and b be 4 x 4 matrices, with det(a) =-3 and det(b) = 2: compute (a) det(ab) (b) det(b5) (c) det(2a) (d) det(ata) (e) det(b-ab)

a) -6, b) 32, c) -48, d) 9, e) -12

Step-by-step explanation:

Since we have given that

A and B are 4 × 4 matrices.

Here,

det (A) = -3

det (B) = 2

We need to find the respective parts:

a) det (AB)

b) det (B⁵ )

c) det (2A)

Since we know that

so, it becomes,

d)

Since we know that

so, it becomes,

e) det (B⁻¹AB)

As we know that

so, it becomes,

Hence, a) -6, b) 32, c) -48, d) 9, e) -12

x

step-by-step explanation: