Question

If \( A = [1 \ 2 \ 3] \), find \( A' \).

• A. \( [1 \ 2 \ 3] \)
• B. \( [1 \ 2 \ 3] \)
• C. \( [3 \ 2 \ 1] \)
• D. \( [2 \ 3 \ 1] \)

Hint:

The transpose of a row vector is a column vector, and vice versa.

Answer 1

The Correct Option is C

If \( A = [1 \ 2 \ 3] \), then the transpose of \( A \), denoted \( A' \), is obtained by changing the rows to columns, resulting in: \[ A' = \left[ \begin{matrix} 3 \\ 2 \\ 1 \end{matrix} \right] \] Thus, the correct answer is \( [3 \ 2 \ 1] \).