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## Homework Statement

A=

1 5 2

1 3 k

2 1 1

Solve for k if A has the eigenvector

3

2

5

## The Attempt at a Solution

I first tried to put in eigenvalues L1, L2 and L3

2-L1 [3-L1, k ; -5 , -2-L1] and so on...

and was going to isolate k but it doesnt´make any sense to me.

Can you help?