Suppose that $A$ is a $3 \times m$ matrix and $B$ is a $m \times 2$ matrix.
(a) Can $A B$ be found? If so, give the dimensions of the resulting matrix.
(b) Can $B A$ be found? If so, give the dimensions of the resulting matrix.
(c) Does $A B=B A$ ? Explain why or why not.
(d) If $C$ and $D$ are each square matrices, will $C D$ always exist?

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The Answer of Suppose that $A$ is a $3 \times m$ matrix and $B$ is a $m \times 2$ matrix.
(a) Can $A B$ be found? If so, give the dimensions of the resulting matrix.
(b) Can $B A$ be found? If so, give the dimensions of the resulting matrix.
(c) Does $A B=B A$ ? Explain why or why not.
(d) If $C$ and $D$ are each square matrices, will $C D$ always exist?

Suppose That AAA Is A 3×m3 \times m3×m Matrix And BBB Is A m×2m \times 2m×2

Suppose That $A$ Is A $3 \times m$ Matrix And $B$ Is A $m \times 2$