- #1
tomeatworld
- 51
- 0
Homework Statement
Find the eigenvalues and eigenvectors for the matrix [{13,5},{2,4}]
Homework Equations
None
The Attempt at a Solution
Well eigenvalues is easy, and turn out to be 14 and 3.
So using eigenvalue 3, the two equations 10x1 + 5x2=0 and 2x1 + x2=0. Using these, I assumed the eigenvector to be [1,-2] but after putting it into Wolfram (or mathematica) it gives out the vector should be [-1,2]. Is there a difference? How should you discern between the two if not and where have I gone wrong if there is?