Matrix-Subtraktionsrechner
Matrizen Schritt für Schritt subtrahieren
Der Rechner ermittelt (falls möglich) die Differenz zweier Matrizen und zeigt die Schritte. Er subtrahiert Matrizen beliebiger Größe bis 10x10 (2x2, 3x3, 4x4 usw.).
Ihre Eingabe
Berechne $$$\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right].$$$
Lösung
$$$\left[\begin{array}{ccc}{\color{Magenta}1} & {\color{Chocolate}2} & {\color{SaddleBrown}-3}\\{\color{OrangeRed}2} & {\color{Violet}-3} & {\color{Crimson}-5}\\{\color{Purple}1} & {\color{Brown}7} & {\color{DarkMagenta}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{Magenta}2} & {\color{Chocolate}-3} & {\color{SaddleBrown}0}\\{\color{OrangeRed}1} & {\color{Violet}1} & {\color{Crimson}5}\\{\color{Purple}1} & {\color{Brown}0} & {\color{DarkMagenta}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Magenta}\left(1\right)} - {\color{Magenta}\left(2\right)} & {\color{Chocolate}\left(2\right)} - {\color{Chocolate}\left(-3\right)} & {\color{SaddleBrown}\left(-3\right)} - {\color{SaddleBrown}\left(0\right)}\\{\color{OrangeRed}\left(2\right)} - {\color{OrangeRed}\left(1\right)} & {\color{Violet}\left(-3\right)} - {\color{Violet}\left(1\right)} & {\color{Crimson}\left(-5\right)} - {\color{Crimson}\left(5\right)}\\{\color{Purple}\left(1\right)} - {\color{Purple}\left(1\right)} & {\color{Brown}\left(7\right)} - {\color{Brown}\left(0\right)} & {\color{DarkMagenta}\left(1\right)} - {\color{DarkMagenta}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$
Antwort
$$$\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$A