Mathematics 10 — Exercise 3.3 · Q1

Full question

Which matrices are conformable for addition and subtraction?

Step-by-step solution

1. Addition and subtraction require equal numbers of rows AND columns.

2. A has order 2 × 2.

   $$\left[\begin{array}{cc}3& 4\\ -2& 1\end{array}\right]$$

3. B has order 2 × 1.

   $$\left[\begin{array}{c}3\\ 4\end{array}\right]$$

4. C has order 1 × 2.

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

5. D has order 2 × 2.

   $$\left[\begin{array}{cc}1& 7\\ 2& 5\end{array}\right]$$

6. E has order 1 × 1.

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

7. F has order 1 × 2.

   $$\left[\begin{array}{cc}7& 11\end{array}\right]$$

8. G has order 2 × 1.

   $$\left[\begin{array}{c}a\\ b\end{array}\right]$$

9. H has order 1 × 1.

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

10. M has order 2 × 1.

    $$\left[\begin{array}{c}l\\ m\end{array}\right]$$

Answer

A with D; B, G and M with each other; C with F; E with H.