If $A=\begin{pmatrix}3&-1\\2&5\end{pmatrix}$ and $B=\begin{pmatrix}-2&4\\1&-3\end{pmatrix}$, find (i) $A+B$ and (ii) $A-B$.

If A= 3-1; 25 and B= -24; 1-3 , find (i) A+B and (ii) A-B.

Worked Examples · Example 4

A=\begin{pmatrix}3&-1\\2&5\end{pmatrix}

(i)

A+B

and

(ii)

A-B

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(i) $A+B$

Adding corresponding elements:

A+B = \begin{pmatrix} 3+(-2) & -1+4 \\ 2+1 & 5+(-3) \end{pmatrix} = \begin{pmatrix} 1 & 3 \\ 3 & 2 \end{pmatrix}

(ii) $A-B$

Subtracting corresponding elements:

$A-B = \begin{pmatrix} 3-(-2) & -1-4 \\ 2-1 & 5-(-3) \end{pmatrix} = \begin{pmatrix} 5 & -5 \\ 1 & 8 \end{pmatrix}$ …