Rechner für Matrixaddition
Matrizen Schritt für Schritt addieren
Der Rechner bestimmt die Summe zweier Matrizen (falls möglich) und zeigt die Rechenschritte an. Er addiert Matrizen beliebiger Größe bis zu 10x10 (2x2, 3x3, 4x4 usw.).
Ihre Eingabe
Berechne $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right].$$$
Lösung
$$$\left[\begin{array}{ccc}{\color{Fuchsia}4} & {\color{Green}5} & {\color{Violet}7}\\{\color{Magenta}2} & {\color{Purple}1} & {\color{DarkMagenta}0}\\{\color{DarkBlue}-1} & {\color{OrangeRed}-2} & {\color{Crimson}1}\end{array}\right] + \left[\begin{array}{ccc}{\color{Fuchsia}2} & {\color{Green}3} & {\color{Violet}0}\\{\color{Magenta}8} & {\color{Purple}9} & {\color{DarkMagenta}5}\\{\color{DarkBlue}1} & {\color{OrangeRed}1} & {\color{Crimson}7}\end{array}\right] = \left[\begin{array}{ccc}{\color{Fuchsia}\left(4\right)} + {\color{Fuchsia}\left(2\right)} & {\color{Green}\left(5\right)} + {\color{Green}\left(3\right)} & {\color{Violet}\left(7\right)} + {\color{Violet}\left(0\right)}\\{\color{Magenta}\left(2\right)} + {\color{Magenta}\left(8\right)} & {\color{Purple}\left(1\right)} + {\color{Purple}\left(9\right)} & {\color{DarkMagenta}\left(0\right)} + {\color{DarkMagenta}\left(5\right)}\\{\color{DarkBlue}\left(-1\right)} + {\color{DarkBlue}\left(1\right)} & {\color{OrangeRed}\left(-2\right)} + {\color{OrangeRed}\left(1\right)} & {\color{Crimson}\left(1\right)} + {\color{Crimson}\left(7\right)}\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$
Antwort
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$A