Question

Dada as matrizes

a = 2 4
0 1


b = 4 1
7 0

c= 3 0
5 -2

calcule

a) A - B. b ) B - C ​

Answer 1

✅ Matriz é toda tabela de valores organizada em "m" linhas e "n" colunas.

Sejam as matrizes:

$\large\displaystyle\begin{gathered}A = \begin{pmatrix}2 & 4\\0 & 1\end{pmatrix}\end{gathered}$

$\large\displaystyle\begin{gathered}B = \begin{pmatrix}4 & 1\\7 & 0 \end{pmatrix}\end{gathered}$

$\large\displaystyle\begin{gathered}C = \begin{pmatrix}3 & 0\\5 & -2 \end{pmatrix}\end{gathered}$

Calculando as operações de subtração entre matrizes:

• a)

        $\large\displaystyle\begin{gathered}A - B = \begin{pmatrix}2 & 4\\0 & 1 \end{pmatrix} - \begin{pmatrix}4 & 1\\7 & 0 \end{pmatrix}\end{gathered}$

                     $\large\displaystyle\begin{gathered}= \begin{pmatrix}2-4 & 4 - 1\\0-7 & 1-0 \end{pmatrix}\end{gathered}$

                     $\large\displaystyle\begin{gathered}= \begin{pmatrix}-2 & 3\\-7 & 1 \end{pmatrix}\end{gathered}$

          $\large\displaystyle\begin{gathered}\therefore\:\:\:A - B = \begin{pmatrix}-2 & 3\\-7 & 1 \end{pmatrix}\end{gathered}$

• b)

        $\large\displaystyle\begin{gathered}B - C = \begin{pmatrix}4 & 1\\7 & 0\end{pmatrix} - \begin{pmatrix}3 & 0\\5 & -2 \end{pmatrix}\end{gathered}$

                     $\large\displaystyle\begin{gathered}= \begin{pmatrix}4 - 3 & 1 - 0\\7 - 5 & 0 - (-2) \end{pmatrix}\end{gathered}$

                    $\large\displaystyle\begin{gathered}= \begin{pmatrix}1 & 1\\2 & 2 \end{pmatrix}\end{gathered}$

            $\large\displaystyle\begin{gathered}\therefore\:\:\: B - C = \begin{pmatrix}1 & 1\\2 & 2 \end{pmatrix}\end{gathered}$

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