Question

ajuda por favor!!!!!​

Answer 1

Resposta:

É somar o subtrair cada termo da matriz:

$\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] + \left[\begin{array}{ccc}e&f\\g&h\end{array}\right] = \left[\begin{array}{ccc}a+e&b + f\\c + g&d+h\end{array}\right]$

B + B =

$\left[\begin{array}{ccc}8&-2\\-5&1\end{array}\right] + \left[\begin{array}{ccc}8&-2\\-5&1\end{array}\right] = \left[\begin{array}{ccc}16&-4\\-10&2\end{array}\right]$

B + A =

$\left[\begin{array}{ccc}8&-2\\-5&1\end{array}\right] + \left[\begin{array}{ccc}1&0\\-2&4\end{array}\right] =\left[\begin{array}{ccc}9&-2\\-7&5\end{array}\right]$

At = transposta de A onde as linhas de a são trocadas com as colunas

Então At = $\left[\begin{array}{ccc}1&-2\\0&4\end{array}\right]$

A + At =

$\left[\begin{array}{ccc}1&0\\-2&4\end{array}\right] + \left[\begin{array}{ccc}1&-2\\0&4\end{array}\right] = \left[\begin{array}{ccc}2&-2\\-2&8\end{array}\right]$

A - B =

$\left[\begin{array}{ccc}1&0\\-2&4\end{array}\right]- \left[\begin{array}{ccc}8&-2\\-5&1\end{array}\right] = \left[\begin{array}{ccc}-7&2\\3&3\end{array}\right]$