Question

2)Dada as matrizes A=
( 3 1)
(4 -2)
B =
(3 1)
(4 -2)

e C =
(3 1)
(4 -2)

a) A+B b) A+ C C) A+ B +C
me ajuda nessa
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Answer 1

Olá!

$A=\left[\begin{array}{cc}3&1\\4&-2\end{array}\right] ~~~~~~~~~~B=\left[\begin{array}{cc}3&1\\4&-2\end{array}\right] ~~~~~~~~~~C=\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]$

a)

$A+B=\left[\begin{array}{cc}3&1\\4&-2\end{array}\right] +\left[\begin{array}{cc}3&1\\4&-2\end{array}\right] =\left[\begin{array}{cc}3+3&1+1\\4+4&-2+(-2)\end{array}\right] =\left[\begin{array}{cc}6&2\\8&-4\end{array}\right]$

b)

$A+C=\left[\begin{array}{cc}3&1\\4&-2\end{array}\right] +\left[\begin{array}{cc}3&1\\4&-2\end{array}\right] =\left[\begin{array}{cc}3+3&1+1\\4+4&-2+(-2)\end{array}\right] =\left[\begin{array}{cc}6&2\\8&-4\end{array}\right]$

c)

$A+B+C=\left[\begin{array}{cc}3&1\\4&-2\end{array}\right] +\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]+\left[\begin{array}{cc}3&1\\4&-2\end{array}\right] =\\\\\ \\ \\ \ \left[\begin{array}{cc}3+3+3&1+1+1\\4+4+4&-2+(-2)+(-2)\end{array}\right] =\left[\begin{array}{cc}9&3\\12&-6\end{array}\right]$

:)