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.