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## Homework Statement

Suppose that v is an eigenvector of both A and B with corresponding eigenvalues lambda and mui respectively. Show that v is an eigenvector of A+B and of AB and determine the corresponding eigenvalues

## Homework Equations

## The Attempt at a Solution

Av = lambda*v

Bv = mui*v

this is all i can think of...can someone give me a hint abt the next step?