Question

Dadas as matrizes

A= 1 2 3 B= -7 -8 9. C= 2 3 -4
-4 5 6. 12 6 5 6 7 1
4 8 6. 8 7 4. 2 8 7

Determine a matriz D resultante da operação A+B-C​

Answer 1

Resposta:

$D=\left[\begin{array}{ccc}-4&-3&8\\14&18&12\\17&23&20\end{array}\right]$

Explicação passo-a-passo:

$A=\left[\begin{array}{ccc}1&2&3\\-4&5&6\\7&8&9\end{array}\right]$

$B=\left[\begin{array}{ccc}-7&-8&9\\12&6&5\\8&7&4\end{array}\right]$

$C=\left[\begin{array}{ccc}2&3&-4\\6&7&1\\2&8&7\end{array}\right]$

Basta somar termo a termo, isto é, em cada linha tu soma o primeiro termo de A com o primeiro de B com o primeiro de C, depois o segundo de A com o segundo de B com o segundo de C e assim por diante.

$D=A+B+C=\left[\begin{array}{ccc}1&2&3\\-4&5&6\\7&8&9\end{array}\right]+\left[\begin{array}{ccc}-7&-8&9\\12&6&5\\8&7&4\end{array}\right]+\left[\begin{array}{ccc}2&3&-4\\6&7&1\\2&8&7\end{array}\right]\\=\left[\begin{array}{ccc}1-7+2&2-8+3&3+9-4\\-4+12+6&5+6+7&6+5+1\\7+8+2&8+7+8&9+4+7\end{array}\right] =\left[\begin{array}{ccc}-4&-3&8\\14&18&12\\17&23&20\end{array}\right]$

Portanto:

$D=\left[\begin{array}{ccc}-4&-3&8\\14&18&12\\17&23&20\end{array}\right]$