Answer:
Verified
Step-by-step explanation:
Let A matrix be in the form of
Then det(A) = ad - bc
Matrix A transposed would be in the form of:
Where we can also calculate its determinant:
det(AT) = ad - bc = det(A)
So the determinant of the nxn matrix is the same as its transposed version for 2x2 matrices
Answer:
The singers can finish first through fifth in 360360 ways.
Step-by-step explanation:
The order of the singers is important, because they are ranked by positions. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
Top five singers, from 15 finalists. So
The singers can finish first through fifth in 360360 ways.