Research was done to study the facial expressions of people, since facial expression clearly shows the emotional state of a pers
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Answer:
Step-by-step explanation:
<u>Eigenvalues of a Matrix</u>
Given a matrix A, the eigenvalues of A, called are scalars who comply with the relation:
Where I is the identity matrix
The matrix is given as
Set up the equation to solve
Expanding the determinant
Operating Rearranging
Factoring
Solving, we have the eigenvalues
Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario and
.
Therefore, offices can be filled in 11,880 different ways.