Calculus Diagonalization

Question

A = [-47, -21] Find S,D and S^-1 such that A = SDS^-1

[98, 44]

Answer 1

Hello again Al G.,

It appears that I have already answered a nearly identical version of your question here:

https://www.wyzant.com/resources/answers/930045/calculus-diagonalization

Please refer to this answer as a general resource, but with a different matrix A.

The process is simple,

1) Obtain eigenvalues.

2) Obtain eigenvectors.

3) Place eigenvalues into the Diagonals of matrix D

4) Stack eigenvectors into a matrix S.

5) Double check that A=SDS^-1 to avoid errors in computation.

I hope this helps and happy studying!