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
$$$\left[\begin{array}{ccc}{\color{Green}1} & {\color{Peru}0} & {\color{Chocolate}0}\\{\color{Purple}0} & {\color{Violet}0} & {\color{Fuchsia}4}\\{\color{GoldenRod}0} & {\color{OrangeRed}1} & {\color{Brown}0}\end{array}\right] + \left[\begin{array}{ccc}{\color{Green}2} & {\color{Peru}1} & {\color{Chocolate}4}\\{\color{Purple}5} & {\color{Violet}7} & {\color{Fuchsia}1}\\{\color{GoldenRod}1} & {\color{OrangeRed}2} & {\color{Brown}5}\end{array}\right] = \left[\begin{array}{ccc}{\color{Green}\left(1\right)} + {\color{Green}\left(2\right)} & {\color{Peru}\left(0\right)} + {\color{Peru}\left(1\right)} & {\color{Chocolate}\left(0\right)} + {\color{Chocolate}\left(4\right)}\\{\color{Purple}\left(0\right)} + {\color{Purple}\left(5\right)} & {\color{Violet}\left(0\right)} + {\color{Violet}\left(7\right)} & {\color{Fuchsia}\left(4\right)} + {\color{Fuchsia}\left(1\right)}\\{\color{GoldenRod}\left(0\right)} + {\color{GoldenRod}\left(1\right)} & {\color{OrangeRed}\left(1\right)} + {\color{OrangeRed}\left(2\right)} & {\color{Brown}\left(0\right)} + {\color{Brown}\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$
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