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Calculadora de subtração de matriz

Subtrair matrizes passo a passo

A calculadora encontrará a diferença de duas matrizes (se possível), com as etapas mostradas. Ela subtrai matrizes de qualquer tamanho até 10x10 (2x2, 3x3, 4x4, etc.).

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Sua contribuição

Calcular [12−32−3−5171]−[2−3011510−1].\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right].

Solução

[12−32−3−5171]−[2−3011510−1]=[(1)−(2)(2)−(−3)(−3)−(0)(2)−(1)(−3)−(1)(−5)−(5)(1)−(1)(7)−(0)(1)−(−1)]=[−15−31−4−10072]\left[\begin{array}{ccc}{\color{DarkBlue}1} & {\color{DarkCyan}2} & {\color{Blue}-3}\\{\color{OrangeRed}2} & {\color{DarkMagenta}-3} & {\color{Violet}-5}\\{\color{DeepPink}1} & {\color{Brown}7} & {\color{Chartreuse}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{DarkBlue}2} & {\color{DarkCyan}-3} & {\color{Blue}0}\\{\color{OrangeRed}1} & {\color{DarkMagenta}1} & {\color{Violet}5}\\{\color{DeepPink}1} & {\color{Brown}0} & {\color{Chartreuse}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{DarkBlue}\left(1\right)} - {\color{DarkBlue}\left(2\right)} & {\color{DarkCyan}\left(2\right)} - {\color{DarkCyan}\left(-3\right)} & {\color{Blue}\left(-3\right)} - {\color{Blue}\left(0\right)}\\{\color{OrangeRed}\left(2\right)} - {\color{OrangeRed}\left(1\right)} & {\color{DarkMagenta}\left(-3\right)} - {\color{DarkMagenta}\left(1\right)} & {\color{Violet}\left(-5\right)} - {\color{Violet}\left(5\right)}\\{\color{DeepPink}\left(1\right)} - {\color{DeepPink}\left(1\right)} & {\color{Brown}\left(7\right)} - {\color{Brown}\left(0\right)} & {\color{Chartreuse}\left(1\right)} - {\color{Chartreuse}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]

Resposta

[12−32−3−5171]−[2−3011510−1]=[−15−31−4−10072]\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]A