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**mtlchris** A is an nxn matrix with two distinct eiganvalues lambda 1 and lambda 2

the dimension of the eigenspace for lambda 1 is n-1

prove that A is diagonalizable

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so i know the algebraic multiplicity for the first eiganvalue is greater then n-1

and greater than 1 for the second...

and for A to diagonalizeable i need the chrasteric polynomial to split...witch it does and also for the eiganspace's dimensions to match they're multiplicty?...if that is correct how to do write it out?