Let $A$ be a square matrix such that $A^2 = A$. Any idea how to show that $A$ cannot be a strictly diagonally dominated matrix unless $A$ is the identity matrix.
Let $A$ be a square matrix such that $A^2 = A$. Show that $A$ cannot be a strictly diagonally dominated matrix unless A is the identity matrix.
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matrices
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0Well, what do you know about "strictly diagonally dominated" matrices? Any theorems? – 2012-03-04