If $\mathrm{A}$ and $\mathrm{B}$ are two matrices such that $\mathrm{A}+\mathrm{B}$ and $\mathrm{AB}$ are both defined, then

Question

If $\mathrm{A}$ and $\mathrm{B}$ are two matrices such that $\mathrm{A}+\mathrm{B}$ and $\mathrm{AB}$ are both defined, then, A and $B$ can be any matrices, A, B are square matrices not necessarily of the same order, A, B are square matrices of the same order, Number of columns of $A=$ number of rows of $B$

MARKS App · Accepted Answer

Hints : Addition is defined if order of $A$ is equal to order of $B$ A B $\mathrm{nxm} \mathrm{nxm}$ is defined if $\mathrm{m}=\mathrm{n}$ $\Rightarrow A, B$ are square matrices of same order

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