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Calcolatrice per la sottrazione di matrici

Sottrarre matrici passo dopo passo

La calcolatrice trova la differenza di due matrici (se possibile), con i passi indicati. Sottrae matrici di qualsiasi dimensione fino a 10x10 (2x2, 3x3, 4x4, ecc.).

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A
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A

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Il vostro contributo

Calcolare [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].

Soluzione

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

Risposta

[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