Question

Please help! Correct answer only, please! Consider the matrix below: Which matrix below represents N^T? (Sometimes the notation is also used to represent the same thing as N^T?.) A. B. C. D.

Answer 1

Answer: B

Explanation:

Transform a matrix by switching the rows and columns:

`A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right] \qquad \rightarrow \qquad A^T=\left[\begin{array}{cc}a&c\\b&d\end{array}\right]`

`N=\left[\begin{array}{cc}7&3\\0&-2\end{array}\right] \qquad \rightarrow \qquad N^T=\left[\begin{array}{cc}7&0\\3&-2 \end{array}\right]`