Question

16. Calcule no caderno
a )-1 -2 3
2 5 2
5 0 1 ​

Answer 1

16)

a)

Ao somar matrizes de mesma ordem, somam-se os elementos de correspondentes às mesmas colunas e linhas entre si:

$\left[\begin{array}{ccc}-1&-2&3\\2&5&2\\5&0&1\end{array}\right] +\left[\begin{array}{ccc}-9&\frac{1}{2}&6\\2&1&0\\\frac{1}{4}&5&-2\end{array}\right] = \left[\begin{array}{ccc}-1-9&-2+(\frac{1}{2})&3+6\\2+2&5+1&2+0\\5+(\frac{1}{4})&0+5&1-2\end{array}\right]$$= \left[\begin{array}{ccc}-10&-1,5&9\\4&6&2\\5,25&5&-1\end{array}\right]$

b)

Ao subtrair somar matrizes de mesma ordem, subtraem-se os elementos de correspondentes às mesmas colunas e linhas entre si:

$\left[\begin{array}{cc}0&1\\2&5\\6&-12\\2&-8\\1&0\end{array}\right] - \left[\begin{array}{cc}-2&0\\5&7\\6&-10\\8&5\\-14&5\end{array}\right] = \left[\begin{array}{cc}0-2&1-0\\2-5&5-7\\6-6&-12-(-10)\\2-8&-8-5\\1-(-14)&0-5\end{array}\right] = \\\left[\begin{array}{cc}-2&1\\-3&-2\\0&-2\\-6&-13\\15&-5\end{array}\right]$