Matrices Practice Questions Ques12
Question: If $A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$, what is the transpose of $A$?
Options:
(A) $\begin{pmatrix} 1 & 3 \\ 2 & 4 \end{pmatrix}$
(B) $\begin{pmatrix} 4 & 3 \\ 2 & 1 \end{pmatrix}$
(C) $\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}$
(D) $\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}$
Show Answer
Answer: A
Explanation:
(A) Correct. The transpose of a matrix is obtained by swapping its rows and columns.
(B) Incorrect. This matrix is not the transpose of $A$.
(C) Incorrect. This is the original matrix $A$.
(D) Incorrect. This matrix is not the transpose of $A$.
BETA
