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1. The problem statement, all variables and given/known data

Let A be a matrix whose columns all add up to a fixed constant [tex]\delta[/tex]. Show that [tex]\delta[/tex] is an eigenvalue of A

2. Relevant equations

3. The attempt at a solution

My solution manual's hint is: If the columns of A each add up to a fixed constant [tex]\delta[/tex], then the row vectors of [tex]A - \delta I[/tex] all add up to (0,0....0).

I don't even understand the hint.

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# Eigenvalue show that

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