Select the correct answer.
1 answer:
You might be interested in
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:
Value of y is 1536.
Step-by-step explanation:
We have given an expression
We need to find the value of y when x=8
We will substitute the value of x as 8 in the given expression we get
On simplification we get
On further simplification we get:
Hence, the required value that is the value of y is 1536
The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑
We have to find the values of x for which the series converges.
We know,
∑ converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑ is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
For more information about convergence of series, visit
#SPJ4