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Calculadora de adição de matriz

Adicionar matrizes passo a passo

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

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Sua contribuição

Calcular [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].

Solução

[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{Chartreuse}4} & {\color{Chocolate}5} & {\color{Crimson}7}\\{\color{OrangeRed}2} & {\color{DarkMagenta}1} & {\color{Purple}0}\\{\color{GoldenRod}-1} & {\color{DarkCyan}-2} & {\color{Brown}1}\end{array}\right] + \left[\begin{array}{ccc}{\color{Chartreuse}2} & {\color{Chocolate}3} & {\color{Crimson}0}\\{\color{OrangeRed}8} & {\color{DarkMagenta}9} & {\color{Purple}5}\\{\color{GoldenRod}1} & {\color{DarkCyan}1} & {\color{Brown}7}\end{array}\right] = \left[\begin{array}{ccc}{\color{Chartreuse}\left(4\right)} + {\color{Chartreuse}\left(2\right)} & {\color{Chocolate}\left(5\right)} + {\color{Chocolate}\left(3\right)} & {\color{Crimson}\left(7\right)} + {\color{Crimson}\left(0\right)}\\{\color{OrangeRed}\left(2\right)} + {\color{OrangeRed}\left(8\right)} & {\color{DarkMagenta}\left(1\right)} + {\color{DarkMagenta}\left(9\right)} & {\color{Purple}\left(0\right)} + {\color{Purple}\left(5\right)}\\{\color{GoldenRod}\left(-1\right)} + {\color{GoldenRod}\left(1\right)} & {\color{DarkCyan}\left(-2\right)} + {\color{DarkCyan}\left(1\right)} & {\color{Brown}\left(1\right)} + {\color{Brown}\left(7\right)}\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]

Resposta

[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