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**1. Homework Statement**

Find the eigenvalues and correspointing eigenvectors of the matrix:

[1,1;1,1]

**2. Homework Equations**

**3. The Attempt at a Solution**

I can solve the determinant to get the eigenvalues: e1=2, e2=0, and from here I am supposed to sub these values back into my matrix and find the eigenvectors, right? I'm not sure how to perform this process though...