Kalkulator dodawania macierzy

Dodawanie macierzy krok po kroku

Kalkulator znajdzie sumę dwóch macierzy (jeśli to możliwe), z pokazanymi krokami. Dodaje macierze o dowolnym rozmiarze do 10x10 (2x2, 3x3, 4x4 itd.).

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Twój wkład

Oblicz [457210121]+[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].

Rozwiązanie

[457210121]+[230895117]=[(4)+(2)(5)+(3)(7)+(0)(2)+(8)(1)+(9)(0)+(5)(1)+(1)(2)+(1)(1)+(7)]=[68710105018]\left[\begin{array}{ccc}{\color{SaddleBrown}4} & {\color{Blue}5} & {\color{Violet}7}\\{\color{Fuchsia}2} & {\color{Magenta}1} & {\color{Crimson}0}\\{\color{Red}-1} & {\color{DeepPink}-2} & {\color{Chocolate}1}\end{array}\right] + \left[\begin{array}{ccc}{\color{SaddleBrown}2} & {\color{Blue}3} & {\color{Violet}0}\\{\color{Fuchsia}8} & {\color{Magenta}9} & {\color{Crimson}5}\\{\color{Red}1} & {\color{DeepPink}1} & {\color{Chocolate}7}\end{array}\right] = \left[\begin{array}{ccc}{\color{SaddleBrown}\left(4\right)} + {\color{SaddleBrown}\left(2\right)} & {\color{Blue}\left(5\right)} + {\color{Blue}\left(3\right)} & {\color{Violet}\left(7\right)} + {\color{Violet}\left(0\right)}\\{\color{Fuchsia}\left(2\right)} + {\color{Fuchsia}\left(8\right)} & {\color{Magenta}\left(1\right)} + {\color{Magenta}\left(9\right)} & {\color{Crimson}\left(0\right)} + {\color{Crimson}\left(5\right)}\\{\color{Red}\left(-1\right)} + {\color{Red}\left(1\right)} & {\color{DeepPink}\left(-2\right)} + {\color{DeepPink}\left(1\right)} & {\color{Chocolate}\left(1\right)} + {\color{Chocolate}\left(7\right)}\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]

Odpowiedź

[457210121]+[230895117]=[68710105018]\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