Mathematics 10 — Exercise 3.3 · Q3 (i)

Full question

Find the additive inverse of the following matrix.

Step-by-step solution

1. Multiply every matrix entry by the scalar.

   $$(-1,\left[\begin{array}{c}5\\ -7\end{array}\right])$$

2. Entry (1,1): multiply its value by the scalar.

   $$\left(-1\right)\times 5=-5$$

3. Entry (2,1): multiply its value by the scalar.

   $$\left(-1\right)\times \left(-7\right)=7$$

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

   $$\left[\begin{array}{c}-5\\ 7\end{array}\right]$$

Answer

The final answer is shown below.