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closed as a duplicate of: Gate ECE 2017 Eigen Value

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Every row sum equals $15$, so $15$ is an eigenvalue.
by (21 points)
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Nope

This is not actual procedure
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What do you mean by a actual procedure?

If you try to expand $det(A-\lambda I )$ then we see  this matrix has four complex eigenvalues (but this is so long)

My answers shows $Ax=15x$ with $x=(1,1,1...,1)^T$

Are  you know this fact? : In a square matrix A with every row sum equals k, then k is an eigenvalue of A