Answer
- Switch the rows and columns
The correct choice is B because the definition of transposing a matrix says that the rows and columns should be switched. For example, the matrix
\(\left[\begin{array}{cc}
3 & 4\\
2 & 5\\
1 & 6
\end{array}\right]\)
can be transposed into
\(\left[\begin{array}{ccc}
3 & 2 & 1\\
4 & 5 & 6
\end{array}\right]\)
Notice that the first row, 3 and 4, becomes the first column. The second row, 2 and 5, becomes the second column. This is an example of transposing a matrix.
How is a transposition of a matrix performed?
- Multiply each number by –1
- Switch the rows and columns
- Reverse the order of each row
- Find the inverse of each number
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