Search any question & find its solution
Question:
Answered & Verified by Expert
If $\mathrm{A}=\left[\begin{array}{ll}3 & 4 \\ 5 & 6 \\ 7 & 8\end{array}\right]$ and $\mathrm{B}=\left[\begin{array}{lll}3 & 5 & 7 \\ 4 & 6 & 8\end{array}\right]$, then which one of the following is correct?
Options:
Solution:
2773 Upvotes
Verified Answer
The correct answer is:
$\mathrm{B}$ is the transpose of A
We have,
$A=\left[\begin{array}{ll}3 & 4 \\ 5 & 6 \\ 7 & 8\end{array}\right]$
$\mathrm{A}^{\mathrm{T}}=\left[\begin{array}{lll}3 & 5 & 7 \\ 4 & 6 & 8\end{array}\right]=\mathrm{B}$
$\therefore \mathrm{B}$ is the transpose of $\mathrm{A}$
$A=\left[\begin{array}{ll}3 & 4 \\ 5 & 6 \\ 7 & 8\end{array}\right]$
$\mathrm{A}^{\mathrm{T}}=\left[\begin{array}{lll}3 & 5 & 7 \\ 4 & 6 & 8\end{array}\right]=\mathrm{B}$
$\therefore \mathrm{B}$ is the transpose of $\mathrm{A}$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.