矩陣計算器
逐步求解矩陣
此計算器可對兩個矩陣進行加、減、乘、除運算，並可對矩陣求冪，且會顯示步驟。它還能求行列式、逆矩陣、rref（簡化行階梯形）、零空間、秩、特徵值與特徵向量，並可將矩陣乘以純量。
您的輸入
計算 $$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right]$$$。
解答
$$$\left[\begin{array}{ccc}{\color{DeepPink}1} & {\color{Blue}0} & {\color{Chartreuse}0}\\{\color{BlueViolet}0} & {\color{DarkBlue}0} & {\color{Peru}4}\\{\color{GoldenRod}0} & {\color{Fuchsia}1} & {\color{Violet}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{DeepPink}2} & {\color{Blue}1} & {\color{Chartreuse}4}\\{\color{BlueViolet}5} & {\color{DarkBlue}7} & {\color{Peru}1}\\{\color{GoldenRod}1} & {\color{Fuchsia}2} & {\color{Violet}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{DeepPink}\left(1\right)} + {\color{DeepPink}\left(2\right)} & {\color{Blue}\left(0\right)} + {\color{Blue}\left(1\right)} & {\color{Chartreuse}\left(0\right)} + {\color{Chartreuse}\left(4\right)}\\{\color{BlueViolet}\left(0\right)} + {\color{BlueViolet}\left(5\right)} & {\color{DarkBlue}\left(0\right)} + {\color{DarkBlue}\left(7\right)} & {\color{Peru}\left(4\right)} + {\color{Peru}\left(1\right)}\\{\color{GoldenRod}\left(0\right)} + {\color{GoldenRod}\left(1\right)} & {\color{Fuchsia}\left(1\right)} + {\color{Fuchsia}\left(2\right)} & {\color{Violet}\left(0\right)} + {\color{Violet}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
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