How can I show that $$B =\begin{pmatrix} 1 & 2 &3\\ 4 & 5 &6\\ 7 & 8 &9 \end{pmatrix}$$
Is zero divisor?
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4Hint: First, find a non-zero element in the kernel. – Tobias Kildetoft Mar 07 '16 at 09:01
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@TobiasKildetoft : and then fix other two vectors to be zeros? – Mar 07 '16 at 09:20
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3@cello Or all the columns to be the same non-zero vector in the kernel. – DonAntonio Mar 07 '16 at 09:30