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Let A and $\mathrm{B}$ be two matrices such that $\mathrm{AB}$ is defined. If $\mathrm{AB}=0$, then which one of the following can be definitely concluded?
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The correct answer is:
A and B are non-zero square matrices
Since, $\mathrm{AB}$ is defined, neither A nor $\mathrm{B}$ is singular i.e., they are non-zero matrix and if $\mathrm{AB}=0$ both $\mathrm{A}$ and $\mathrm{B}$ are square matrix. So, Aand B are non-zerosquare matrices.
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