Question

Q- Find the sum &
product of the eigen
values of matrix
A=
| 2 0 1 |
| 0 2 0 |
| 1 0 2 |
​


it's urgent. please.

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The value of eigen values is 6 and Products of eigen values is 6

Given,

Matrix A =

$|201 \\ 020 \\ 102|$

To Find,

We have to find the sum & product of the eigen

values of given matrix A

Solution,

Eigen values are a type of scalar connected with such a linear system of equations (i.e., a matrix equation) and are also known as characteristic roots, characteristic values, appropriate values, or latent roots.

so, we know that,

Sum of the eigen values = Sum of the principal diagonal elements.

so according to the question, here

the value of eigen values = 2+2+2= 6

and,

Products of eigen values = |A|

so, |A| = 2*(4-0)- 0*(0-0)+1(0-2)

= 2*4 - 0 - 2

= 8 -2

= 6

Hence, the value of eigen values is 6 and Products of eigen values is 6

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