Question

Fill in the blank:

The transpose of a column matrix is a _____.

• A. zero matrix
• B. diagonal matrix
• C. column matrix
• D. row matrix

Answer 1

Answer: (D)

row matrix

Let $A=\left[\begin{array}{c}x\\ y\\ z\end{array}\right]$ be a column matrix.

$\therefore A^T=\left[\begin{array}{ccc}x& y& z\end{array}\right]$

Clearly $A^T$ is a row matrix

$\therefore$ Transpose of column matrix is row matrix.

Hence, option D is correct.