Question

Addition of two matrices of order $3\times 3$ results in a matrix of order

• A. $2\times 2$
• B. $2\times 3$
• C. $3\times 2$
• D. $3\times 3$

Answer 1

The correct option is D $3\times 3$

We can add two matrices only if the order of the matrices is same, i.e., a $3\times 3$ matrix can only be added to a $3\times 3$ matrix and the resultant is a matrix of the same order.

Example:
If $A={\left[\begin{array}{cc}a& b\\ c& d\end{array}\right]}_{2\times 2}$ and $B={\left[\begin{array}{cc}e& f\\ g& h\end{array}\right]}_{2\times 2}$

$\Rightarrow A+B={\left[\begin{array}{cc}a+e& b+f\\ c+g& d+h\end{array}\right]}_{2\times 2}$