Matrices Practice Questions Ques26
Question: If $B$ is a $2 \times 3$ matrix given by $B = \begin{pmatrix} 1 & 4 & 7 \\ 2 & 5 & 8 \end{pmatrix}$, what is the $b_{32}$ element of $B^T$?
Options:
(A) $4$
(B) $5$
(C) $7$
(D) $8$
Show Answer
Answer: D
Explanation:
(A) Incorrect. The $b_{32}$ element of $B^T$ is not $4$.
(B) Incorrect. The $b_{32}$ element of $B^T$ is not $5$.
(C) Incorrect. The $b_{32}$ element of $B^T$ is not $7$.
(D) Correct. The $b_{32}$ element of $B^T$ is $8$ because $B^T$ is obtained by interchanging rows and columns of $B$.
BETA
