matrices problem...

Q:let A and B be real matrices such that sum of each row of A is 1 and sum of each row of B is 2.then show that 2 is an eigen value of AB?

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Originally Posted by Mathventure

let A and B be real (we don't need this assumption!) matrices such that sum of the entries in each row of A is 1 and sum of the entries in each row of B is 2.

then show that 2 is an eigenvalue of AB?

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let then and thus