行列計算機
行列を段階的に解く
この計算機は、途中の手順を示しながら、2つの行列の加算・減算・乗算・除算およびべき乗を行います。さらに、行列式、逆行列、rref（既約行階段形）、零空間、階数、固有値、固有ベクトルを求め、行列にスカラーを掛けることもできます。
入力内容
$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right]$$$を計算せよ。
解答
$$$\left[\begin{array}{ccc}{\color{BlueViolet}1} & {\color{Violet}0} & {\color{Green}0}\\{\color{Blue}0} & {\color{Crimson}0} & {\color{Fuchsia}4}\\{\color{Magenta}0} & {\color{DarkMagenta}1} & {\color{DarkCyan}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{BlueViolet}2} & {\color{Violet}1} & {\color{Green}4}\\{\color{Blue}5} & {\color{Crimson}7} & {\color{Fuchsia}1}\\{\color{Magenta}1} & {\color{DarkMagenta}2} & {\color{DarkCyan}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{BlueViolet}\left(1\right)} + {\color{BlueViolet}\left(2\right)} & {\color{Violet}\left(0\right)} + {\color{Violet}\left(1\right)} & {\color{Green}\left(0\right)} + {\color{Green}\left(4\right)}\\{\color{Blue}\left(0\right)} + {\color{Blue}\left(5\right)} & {\color{Crimson}\left(0\right)} + {\color{Crimson}\left(7\right)} & {\color{Fuchsia}\left(4\right)} + {\color{Fuchsia}\left(1\right)}\\{\color{Magenta}\left(0\right)} + {\color{Magenta}\left(1\right)} & {\color{DarkMagenta}\left(1\right)} + {\color{DarkMagenta}\left(2\right)} & {\color{DarkCyan}\left(0\right)} + {\color{DarkCyan}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
解答
$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$A