Matrices Practice Questions Ques22

Question: If $E = \begin{pmatrix} 0 & 1 \\ 2 & 3 \end{pmatrix}$ and $F = \begin{pmatrix} 3 & 2 \\ 1 & 0 \end{pmatrix}$, what is $E + F$?

Options:

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

(B) $\begin{pmatrix} 0 & 1 \\ 2 & 3 \end{pmatrix}$

(C) $\begin{pmatrix} 3 & 2 \\ 1 & 0 \end{pmatrix}$

(D) $\begin{pmatrix} 3 & 3 \\ 3 & 3 \end{pmatrix}$

Show Answer

Answer: A

Explanation:

(A) Correct. Each element of $E$ is added to the corresponding element of $F$.

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

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

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