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Calcolatrice dell'addizione a matrice

Aggiungere matrici passo dopo passo

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

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Il vostro contributo

Calcolare [457210−1−21]+[230895117].\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right].

Soluzione

[457210−1−21]+[230895117]=[(4)+(2)(5)+(3)(7)+(0)(2)+(8)(1)+(9)(0)+(5)(−1)+(1)(−2)+(1)(1)+(7)]=[687101050−18]\left[\begin{array}{ccc}{\color{OrangeRed}4} & {\color{DarkBlue}5} & {\color{Blue}7}\\{\color{DeepPink}2} & {\color{DarkCyan}1} & {\color{Red}0}\\{\color{Chocolate}-1} & {\color{Green}-2} & {\color{GoldenRod}1}\end{array}\right] + \left[\begin{array}{ccc}{\color{OrangeRed}2} & {\color{DarkBlue}3} & {\color{Blue}0}\\{\color{DeepPink}8} & {\color{DarkCyan}9} & {\color{Red}5}\\{\color{Chocolate}1} & {\color{Green}1} & {\color{GoldenRod}7}\end{array}\right] = \left[\begin{array}{ccc}{\color{OrangeRed}\left(4\right)} + {\color{OrangeRed}\left(2\right)} & {\color{DarkBlue}\left(5\right)} + {\color{DarkBlue}\left(3\right)} & {\color{Blue}\left(7\right)} + {\color{Blue}\left(0\right)}\\{\color{DeepPink}\left(2\right)} + {\color{DeepPink}\left(8\right)} & {\color{DarkCyan}\left(1\right)} + {\color{DarkCyan}\left(9\right)} & {\color{Red}\left(0\right)} + {\color{Red}\left(5\right)}\\{\color{Chocolate}\left(-1\right)} + {\color{Chocolate}\left(1\right)} & {\color{Green}\left(-2\right)} + {\color{Green}\left(1\right)} & {\color{GoldenRod}\left(1\right)} + {\color{GoldenRod}\left(7\right)}\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]

Risposta

[457210−1−21]+[230895117]=[687101050−18]\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]A