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
$$$\left[\begin{array}{ccc}{\color{GoldenRod}1} & {\color{Chartreuse}0} & {\color{Fuchsia}0}\\{\color{DarkMagenta}0} & {\color{OrangeRed}0} & {\color{Violet}4}\\{\color{BlueViolet}0} & {\color{Crimson}1} & {\color{Blue}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{GoldenRod}2} & {\color{Chartreuse}1} & {\color{Fuchsia}4}\\{\color{DarkMagenta}5} & {\color{OrangeRed}7} & {\color{Violet}1}\\{\color{BlueViolet}1} & {\color{Crimson}2} & {\color{Blue}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{GoldenRod}\left(1\right)} + {\color{GoldenRod}\left(2\right)} & {\color{Chartreuse}\left(0\right)} + {\color{Chartreuse}\left(1\right)} & {\color{Fuchsia}\left(0\right)} + {\color{Fuchsia}\left(4\right)}\\{\color{DarkMagenta}\left(0\right)} + {\color{DarkMagenta}\left(5\right)} & {\color{OrangeRed}\left(0\right)} + {\color{OrangeRed}\left(7\right)} & {\color{Violet}\left(4\right)} + {\color{Violet}\left(1\right)}\\{\color{BlueViolet}\left(0\right)} + {\color{BlueViolet}\left(1\right)} & {\color{Crimson}\left(1\right)} + {\color{Crimson}\left(2\right)} & {\color{Blue}\left(0\right)} + {\color{Blue}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
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