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$$$\left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]\cdot \left[\begin{array}{cc}\frac{17}{225} & - \frac{8}{225}\\- \frac{8}{225} & \frac{17}{225}\end{array}\right]$$$

A calculadora multiplicará a matriz $$$3$$$ x $$$2$$$ $$$\left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]$$$ pela matriz $$$2$$$ x $$$2$$$ $$$\left[\begin{array}{cc}\frac{17}{225} & - \frac{8}{225}\\- \frac{8}{225} & \frac{17}{225}\end{array}\right]$$$, com as etapas mostradas.

Calculadora relacionada: Calculadora matricial

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Sua entrada

Calcule $$$\left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]\cdot \left[\begin{array}{cc}\frac{17}{225} & - \frac{8}{225}\\- \frac{8}{225} & \frac{17}{225}\end{array}\right].$$$

Solução

$$$\left[\begin{array}{cc}{\color{DarkBlue}3} & {\color{Magenta}2}\\{\color{Violet}2} & {\color{Red}3}\\{\color{Chartreuse}2} & {\color{GoldenRod}-2}\end{array}\right]\cdot \left[\begin{array}{cc}{\color{DarkMagenta}\frac{17}{225}} & {\color{Violet}- \frac{8}{225}}\\{\color{Magenta}- \frac{8}{225}} & {\color{Green}\frac{17}{225}}\end{array}\right] = \left[\begin{array}{cc}{\color{DarkBlue}\left(3\right)}\cdot {\color{DarkMagenta}\left(\frac{17}{225}\right)} + {\color{Magenta}\left(2\right)}\cdot {\color{Magenta}\left(- \frac{8}{225}\right)} & {\color{DarkBlue}\left(3\right)}\cdot {\color{Violet}\left(- \frac{8}{225}\right)} + {\color{Magenta}\left(2\right)}\cdot {\color{Green}\left(\frac{17}{225}\right)}\\{\color{Violet}\left(2\right)}\cdot {\color{DarkMagenta}\left(\frac{17}{225}\right)} + {\color{Red}\left(3\right)}\cdot {\color{Magenta}\left(- \frac{8}{225}\right)} & {\color{Violet}\left(2\right)}\cdot {\color{Violet}\left(- \frac{8}{225}\right)} + {\color{Red}\left(3\right)}\cdot {\color{Green}\left(\frac{17}{225}\right)}\\{\color{Chartreuse}\left(2\right)}\cdot {\color{DarkMagenta}\left(\frac{17}{225}\right)} + {\color{GoldenRod}\left(-2\right)}\cdot {\color{Magenta}\left(- \frac{8}{225}\right)} & {\color{Chartreuse}\left(2\right)}\cdot {\color{Violet}\left(- \frac{8}{225}\right)} + {\color{GoldenRod}\left(-2\right)}\cdot {\color{Green}\left(\frac{17}{225}\right)}\end{array}\right] = \left[\begin{array}{cc}\frac{7}{45} & \frac{2}{45}\\\frac{2}{45} & \frac{7}{45}\\\frac{2}{9} & - \frac{2}{9}\end{array}\right]$$$

Responder

$$$\left[\begin{array}{cc}3 & 2\\2 & 3\\2 & -2\end{array}\right]\cdot \left[\begin{array}{cc}\frac{17}{225} & - \frac{8}{225}\\- \frac{8}{225} & \frac{17}{225}\end{array}\right] = \left[\begin{array}{cc}\frac{7}{45} & \frac{2}{45}\\\frac{2}{45} & \frac{7}{45}\\\frac{2}{9} & - \frac{2}{9}\end{array}\right]\approx \left[\begin{array}{cc}0.155555555555556 & 0.044444444444444\\0.044444444444444 & 0.155555555555556\\0.222222222222222 & -0.222222222222222\end{array}\right]$$$A