Answer:
1) C. 2
2) A. 2
Step-by-step explanation:
1. We need to descompose 256 into its prime factors:
We must rewrite the expression :
We need to remember that:
Then:
2. Let's descompose 16 into its prime factors:
We must rewrite the expression :
Then we get:
where det(<em>A</em>) = 1×1 - 2×1 = -1.
where det(<em>B</em>) = 0×2 - (-1)×1 = 1. Then
On the other side, we have
and det(<em>AB</em>) = det(<em>A</em>) det(<em>B</em>) = (-1)×1 = -1. So
and both matrices are clearly the same.
More generally, we have by definition of inverse,
where is the identity matrix. Multiply on the left by <em>A </em>⁻¹ to get
Multiplication of matrices is associative, so we can regroup terms as
Now multiply again on the left by <em>B</em> ⁻¹ and do the same thing:
5 obtuse no acute and no right
Sure hopefully that helped