Mathematics 10 — Exercise 3.2 · Q4 D

Full question

Find the transpose of the following matrix.

Step-by-step solution

1. Transpose: row 1 becomes column 1, row 2 becomes column 2, and so on.

   $$\left[\begin{array}{cc}2& 5\\ 3& 6\\ 4& 7\end{array}\right]$$

2. Move row 1 into column 1.

   $$\left[\begin{array}{c}2\\ 5\end{array}\right]$$

3. Move row 2 into column 2.

   $$\left[\begin{array}{c}3\\ 6\end{array}\right]$$

4. Move row 3 into column 3.

   $$\left[\begin{array}{c}4\\ 7\end{array}\right]$$

5. Place the calculated entries in their original row and column positions.

   $$\left[\begin{array}{ccc}2& 3& 4\\ 5& 6& 7\end{array}\right]$$

Answer

The final answer is shown below.