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Calculadora de sustracción de matrices

Restar matrices paso a paso

La calculadora hallará la diferencia de dos matrices (si es posible), con los pasos indicados. Resta matrices de cualquier tamaño hasta 10x10 (2x2, 3x3, 4x4, etc.).

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Su opinión

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].

Solución

[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{Violet}1} & {\color{Purple}2} & {\color{DeepPink}-3}\\{\color{DarkMagenta}2} & {\color{Red}-3} & {\color{Magenta}-5}\\{\color{Crimson}1} & {\color{Peru}7} & {\color{OrangeRed}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{Violet}2} & {\color{Purple}-3} & {\color{DeepPink}0}\\{\color{DarkMagenta}1} & {\color{Red}1} & {\color{Magenta}5}\\{\color{Crimson}1} & {\color{Peru}0} & {\color{OrangeRed}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Violet}\left(1\right)} - {\color{Violet}\left(2\right)} & {\color{Purple}\left(2\right)} - {\color{Purple}\left(-3\right)} & {\color{DeepPink}\left(-3\right)} - {\color{DeepPink}\left(0\right)}\\{\color{DarkMagenta}\left(2\right)} - {\color{DarkMagenta}\left(1\right)} & {\color{Red}\left(-3\right)} - {\color{Red}\left(1\right)} & {\color{Magenta}\left(-5\right)} - {\color{Magenta}\left(5\right)}\\{\color{Crimson}\left(1\right)} - {\color{Crimson}\left(1\right)} & {\color{Peru}\left(7\right)} - {\color{Peru}\left(0\right)} & {\color{OrangeRed}\left(1\right)} - {\color{OrangeRed}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]

Respuesta

[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