Answer:
a) The main idea to solve this exercise is to use the identity , where
and
are two square matrices.
Then, . Now, recall that [\det(Id) = \det(P)\det(P^{-1})[/tex], where
stands for the identity matrix. But
, thus
and
are reciprocal to each other.
Hence,
b) Let us write and
. Then
But the product of two diagonal matrices is commutative, so , from where the statement readily follows.
Step-by-step explanation:
The answer is:
The lowest term will be:
Reducing a fraction to its lowest term means writing it its simplified form, so, performing the operation and simplifying we have:
Now, to reduce the fraction to its lowest term, we need to divide both numerator and denominator by a common number, for this case, it will be "4" since is the biggest whole number that both numerator and denominator can be divided by, so, we have:
Hence, we have that the lowest term will be:
Have a nice day!
