矩阵计算器
逐步求解矩阵
该计算器可对两个矩阵进行加、减、乘、除及求幂运算，并显示步骤。它还可计算行列式、逆矩阵、rref（行最简形）、零空间、秩、特征值和特征向量，并可将矩阵与标量相乘。
您的输入
计算 $$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right]$$$。
解答
$$$\left[\begin{array}{ccc}{\color{Peru}1} & {\color{Brown}0} & {\color{BlueViolet}0}\\{\color{Chocolate}0} & {\color{Red}0} & {\color{DarkBlue}4}\\{\color{Green}0} & {\color{SaddleBrown}1} & {\color{DarkCyan}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{Peru}2} & {\color{Brown}1} & {\color{BlueViolet}4}\\{\color{Chocolate}5} & {\color{Red}7} & {\color{DarkBlue}1}\\{\color{Green}1} & {\color{SaddleBrown}2} & {\color{DarkCyan}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{Peru}\left(1\right)} + {\color{Peru}\left(2\right)} & {\color{Brown}\left(0\right)} + {\color{Brown}\left(1\right)} & {\color{BlueViolet}\left(0\right)} + {\color{BlueViolet}\left(4\right)}\\{\color{Chocolate}\left(0\right)} + {\color{Chocolate}\left(5\right)} & {\color{Red}\left(0\right)} + {\color{Red}\left(7\right)} & {\color{DarkBlue}\left(4\right)} + {\color{DarkBlue}\left(1\right)}\\{\color{Green}\left(0\right)} + {\color{Green}\left(1\right)} & {\color{SaddleBrown}\left(1\right)} + {\color{SaddleBrown}\left(2\right)} & {\color{DarkCyan}\left(0\right)} + {\color{DarkCyan}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
答案
$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$A