Linear Algebra--matrix

[calcstudent]

Hello. Can somebody help me with the following problem?

For matrix A=

8 6 2
-10 -8 -2
5 3 -1

a. Please find its eigenvalues and their associated eigenvectors.
b. Use the result of (a) to write down the similar diagonal matrix K, such that K = P^-1 AP, please write down the matrix P
c. Use the result of (b) to compute A^5

 

[stapel]

The process for finding eigenvalues is fairly formulaic. How far have you gotten in applying the algorithm for this part?

Please be complete, starting with the matrix subtraction you set up, and showing your computations based on the determinant. Thank you!

Eliz.