Adição e Subtração de Matrizes

Há duas maneiras de efetuar essa operações entre matrizes

1$^{a}$ Maneira

$>$ `A+B`:=matadd(A,B): A+B=matrix(`A+B`);

$$A + B = \left[ {{\begin{array}{*{20}c} {a_{11} + b_{11} } \... ... \hfill & {a_{34} + b_{34} } \hfill \\ \end{array} }} \right]$$

$>$ `A-B`:=matadd(A,-B): A-B=matrix(`A-B`);

$$A - B = \left[ {{\begin{array}{*{20}c} {a_{11} - b_{11} } \... ... \hfill & {a_{34} - b_{34} } \hfill \\ \end{array} }} \right]$$

2$^{a}$ Maneira

$>$ `A+B`:=evalm(A+B): A+B=matrix(`A+B`);

$$A + B = \left[ {{\begin{array}{*{20}c} {a_{11} + b_{11} } \... ...\hfill & {a_{34} + b_{34} } \hfill \\ \end{array} }} \right].$$

$>$ `A-B`:=evalm(A-B): A-B=matrix(`A-B`);

$$A - B = \left[ {{\begin{array}{*{20}c} {a_{11} - b_{11} } \... ...\hfill & {a_{34} - b_{34} } \hfill \\ \end{array} }} \right].$$

Por exemplo, se consideramos as seguintes matrizes

$>$ A:=array([[-3,2,-1], [3,5,-3]]): A=matrix(A);
B:=array([[2, 3, -2], [-5,1,2]]): B=matrix(B);

$$A = \left[ {{\begin{array}{*{20}c} { - 3} \hfill & 2 \hfill... ...3 \hfill & 5 \hfill & { - 3} \hfill \\ \end{array} }} \right]$$

$$B = \left[ {{\begin{array}{*{20}c} 2 \hfill & 3 \hfill & { ... ...{ - 5} \hfill & 1 \hfill & 2 \hfill \\ \end{array} }} \right]$$

$>$ `A+B`:=matadd(A,B):A+B=matrix(`A+B`);

$$A + B = \left[ {{\begin{array}{*{20}c} { - 1} \hfill & 5 \h... ...} \hfill & 6 \hfill & { - 1} \hfill \\ \end{array} }} \right]$$

ou,

$>$ matrix(A)+matrix(B)=matrix(`A+B`);

$$\left[ {{\begin{array}{*{20}c} { - 3} \hfill & 2 \hfill & {... ...} \hfill & 6 \hfill & { - 1} \hfill \\ \end{array} }} \right]$$

$>$ `A-B`:=matadd(A,-B):A-B=matrix(`A-B`);

$$A - B = \left[ {{\begin{array}{*{20}c} { - 5} \hfill & { - ... ...8 \hfill & 4 \hfill & { - 5} \hfill \\ \end{array} }} \right]$$

$>$ matrix(A)-matrix(B)=matrix(`A-B`);

$$\left[ {{\begin{array}{*{20}c} { - 3} \hfill & 2 \hfill & {... ...8 \hfill & 4 \hfill & { - 5} \hfill \\ \end{array} }} \right]$$