Answer: 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