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
1degree every 20 minutes or
3degrees per hour
Answer:
52 quarters
Step-by-step explanation:
-We know that a quarter dollar is equivalent to $0.25

-Given that Haley has $13, we multiply this amount by 4 since $1 has 4 quarters to obtain the number of quarters:

Hence, Hayley will get 52 quarters.
Answer:
x = 11
Step-by-step explanation:
From the diagram, we find,
(2x - 16) + (x - 8) = 9
=> 2x - 16 + x - 8 = 9
=> 2x + x - 16 - 8 = 9
=> 3x - 24 = 9
=> 3x = 9 + 24
=> 3x = 33
=> x = 33/3
=> x = 11
Answer:
distributive property of multiplication
Step-by-step explanation: