Mathematics 10 — Exercise 3.2 · Q5 A

Full question

Find the negative of the following matrix.

Step-by-step solution

1. Multiply every matrix entry by the scalar.

   $$(-1,\left[\begin{array}{cc}-3& 0\\ 5& 6\end{array}\right])$$

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

   $$\left(-1\right)\times \left(-3\right)=3$$

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

   $$\left(-1\right)\times 0=0$$

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

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

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

   $$\left(-1\right)\times 6=-6$$

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

   $$\left[\begin{array}{cc}3& 0\\ -5& -6\end{array}\right]$$

Answer

The final answer is shown below.