Question

Find the value in place of question mark in the following:

$A_{6\times 2}\times B_{2\times 6}=C_{?\times 6}$?

• A. $2$
• B. $6$
• C. $12$
• D. None of these

Answer 1

The correct option is B $6$

$A_{6\times 2}$ denotes a matrix having $6$ rows and $2$ columns.

Similarly, $B_{2\times 6}$ denotes a matrix having $2$ rows and $6$ columns.

When multiplied, we get $6$ rows and $6$ columns based on the matrix multiplication rule.

Thus, if the product of matrices $A$ and $B$ is $C$, we can write the answer as $C_{6\times 6}$