Matrices Practice Questions Ques20
Question: If $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$ and $B = \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}$, what is $A + B$?
Options:
(A) $\begin{pmatrix} 6 & 8 \\ 10 & 12 \end{pmatrix}$
(B) $\begin{pmatrix} 4 & 4 \\ 4 & 4 \end{pmatrix}$
(C) $\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$
(D) $\begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix}$
Show Answer
Answer: A
Explanation:
(A) Correct. Each element of $A$ is added to the corresponding element of $B$.
(B) Incorrect. This matrix does not represent the sum of $A$ and $B$.
(C) Incorrect. This is matrix $A$ itself, not the sum.
(D) Incorrect. This is matrix $B$ itself, not the sum.