Question

If $A$ is of order $3\times 4$ and $B$ is of order $4\times 3$ , then the order of $BA$ is :

• A. $3\times 3$
• B. $4\times 4$
• C. $4\times 3$
• D. Not defined

Answer 1

The correct option is B $4\times 4$

If $A$ is of order $3\times 4$ and $B$ is of order $4\times 3,$ then order of the product matrix $BA$ is the (number of rows of matrix $B$ x number of columns on matrix $A$)

So, the answer is order of $BA=(4\times 4)$

Hence, option B is correct.