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## Homework Statement

Suppose that [tex] A \in Mnxn(F) [/tex] has two distinct eigenvalues [tex]\lambda_{1}[/tex] and [tex]\lambda_{2}[/tex] and that [tex] dim(E_{\lambda_{1}}) = n - 1. [/tex] Prove that A is diagonalizable

## Homework Equations

## The Attempt at a Solution

hmm, I'm not sure.. how would I start this?

thanks