Mathematics 10 — Exercise 3.2 · Q4 A

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.

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

2. Move row 1 into column 1.

   $$\left[\begin{array}{c}2\\ 3\end{array}\right]$$

3. Move row 2 into column 2.

   $$\left[\begin{array}{c}4\\ 5\end{array}\right]$$

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

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

Answer

The final answer is shown below.