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 $F$.