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Lesson 1, Topic 4
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# Addition & Subtraction of Matrices

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To be added or subtracted, two matrices must be of the same order. The sum or difference is then determined by adding or subtracting corresponding elements.

Examples:

1. $$\scriptsize \begin{pmatrix} 4 & 2 & 3 \\ 5 & 7 & 6 \end{pmatrix} + \begin{pmatrix} 1 & 8 & 9 \\ 3 & 5 & 4 \end{pmatrix}$$

= $$\scriptsize \begin{pmatrix} 4 + 1 & 2 + 8 & 3 + 9 \\ 5 + 3 & 7 + 5 & 6 + 4 \end{pmatrix}$$

= $$\scriptsize \begin{pmatrix} 5 & 10 & 12 \\ 8 & 12 & 10 \end{pmatrix}$$

2. $$\scriptsize \begin{pmatrix} 6 & 5 & 12 \\ 9 & 4 & 8 \end{pmatrix} – \begin{pmatrix} 3 & 7 & 1 \\ 2 & 10 & -5 \end{pmatrix}$$

= $$\scriptsize \begin{pmatrix} 6 -3 & 5 – 7 & 12 – 1 \\ 9 -2 & 4 -10 & 8 – (-5) \end{pmatrix}$$

= $$\scriptsize \begin{pmatrix} 3 & -2 & 11 \\ 7 & -6 & 13 \end{pmatrix}$$

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