Matrices Practice Questions Ques21

Question: If $C = \begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}$ and $D = \begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}$, what is $C + D$?

Options:

(A) $\begin{pmatrix} 3 & 4 \\ 5 & 6 \end{pmatrix}$

(B) $\begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}$

(C) $\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}$

(D) $\begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}$

Show Answer

Answer: A

Explanation:

(A) Correct. Each element of $C$ is added to the corresponding element of $D$.

(B) Incorrect. This is matrix $D$ itself, not the sum.

(C) Incorrect. This is matrix $C$ itself, not the sum.

(D) Incorrect. This matrix does not represent the sum of $C$ and $D$.