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
$$$\left[\begin{array}{ccc}{\color{Red}1} & {\color{Purple}0} & {\color{Crimson}0}\\{\color{DarkBlue}0} & {\color{GoldenRod}0} & {\color{Green}4}\\{\color{BlueViolet}0} & {\color{Blue}1} & {\color{Magenta}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{Red}2} & {\color{Purple}1} & {\color{Crimson}4}\\{\color{DarkBlue}5} & {\color{GoldenRod}7} & {\color{Green}1}\\{\color{BlueViolet}1} & {\color{Blue}2} & {\color{Magenta}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{Red}\left(1\right)} + {\color{Red}\left(2\right)} & {\color{Purple}\left(0\right)} + {\color{Purple}\left(1\right)} & {\color{Crimson}\left(0\right)} + {\color{Crimson}\left(4\right)}\\{\color{DarkBlue}\left(0\right)} + {\color{DarkBlue}\left(5\right)} & {\color{GoldenRod}\left(0\right)} + {\color{GoldenRod}\left(7\right)} & {\color{Green}\left(4\right)} + {\color{Green}\left(1\right)}\\{\color{BlueViolet}\left(0\right)} + {\color{BlueViolet}\left(1\right)} & {\color{Blue}\left(1\right)} + {\color{Blue}\left(2\right)} & {\color{Magenta}\left(0\right)} + {\color{Magenta}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
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