Linear Algebra 11f: An Example of an Incompatible Matrix Product

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Implicitly there could be a '0' adjoined to the vector in the 'third row' (if we allow such abuse) to force compatibility which perhaps finds some applications?

abajabbajew
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I'd be the sick, twisted bastard that'd put three of these on a final exam; one of which would be discovered only after some work was done...

invictusdomini