行列の減法計算機
行列をステップバイステップで減算
この電卓は、(可能な場合)2つの行列の差を求め、計算手順を表示します。最大10x10までの任意のサイズの行列 (2x2, 3x3, 4x4, etc.) を減算します。
入力内容
$$$\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right]$$$を計算せよ。
解答
$$$\left[\begin{array}{ccc}{\color{Red}1} & {\color{Blue}2} & {\color{SaddleBrown}-3}\\{\color{DarkMagenta}2} & {\color{Brown}-3} & {\color{Chartreuse}-5}\\{\color{GoldenRod}1} & {\color{Crimson}7} & {\color{DarkCyan}1}\end{array}\right] - \left[\begin{array}{ccc}{\color{Red}2} & {\color{Blue}-3} & {\color{SaddleBrown}0}\\{\color{DarkMagenta}1} & {\color{Brown}1} & {\color{Chartreuse}5}\\{\color{GoldenRod}1} & {\color{Crimson}0} & {\color{DarkCyan}-1}\end{array}\right] = \left[\begin{array}{ccc}{\color{Red}\left(1\right)} - {\color{Red}\left(2\right)} & {\color{Blue}\left(2\right)} - {\color{Blue}\left(-3\right)} & {\color{SaddleBrown}\left(-3\right)} - {\color{SaddleBrown}\left(0\right)}\\{\color{DarkMagenta}\left(2\right)} - {\color{DarkMagenta}\left(1\right)} & {\color{Brown}\left(-3\right)} - {\color{Brown}\left(1\right)} & {\color{Chartreuse}\left(-5\right)} - {\color{Chartreuse}\left(5\right)}\\{\color{GoldenRod}\left(1\right)} - {\color{GoldenRod}\left(1\right)} & {\color{Crimson}\left(7\right)} - {\color{Crimson}\left(0\right)} & {\color{DarkCyan}\left(1\right)} - {\color{DarkCyan}\left(-1\right)}\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$
解答
$$$\left[\begin{array}{ccc}1 & 2 & -3\\2 & -3 & -5\\1 & 7 & 1\end{array}\right] - \left[\begin{array}{ccc}2 & -3 & 0\\1 & 1 & 5\\1 & 0 & -1\end{array}\right] = \left[\begin{array}{ccc}-1 & 5 & -3\\1 & -4 & -10\\0 & 7 & 2\end{array}\right]$$$A