Question

Let A = $\left[\begin{array}{cc}1& 6\\ 2& 5\end{array}\right]$, B = $\left[\begin{array}{cc}3& 4\\ 4& 9\end{array}\right]$ then A + B =$$\left[\begin{array}{cc}4& 6\\ 10& 14\end{array}\right]$$

• A. True
• B. False

Answer 1

The correct option is A

True

We know that when we add two matrices say A&B, A+B, the resultant matrix will have elements which are sum of corresponding elements of A&B.

So $\left[\begin{array}{cc}1& 6\\ 2& 5\end{array}\right]$ + $\left[\begin{array}{cc}3& 4\\ 4& 9\end{array}\right]$

= $\left[\begin{array}{cccccc}1& +& 3& 6& +& 4\\ 2& +& 4& 5& +& 9\end{array}\right]$

= $\left[\begin{array}{cc}4& 10\\ 6& 14\end{array}\right]$, which is the correct answer. Hence the statement is true.