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Matrix Addition Calculator
Add matrices step by step
The calculator will find the sum of two matrices (if possible), with steps shown. It adds matrices of any size up to 10x10 (2x2, 3x3, 4x4, etc.).
Your Input
Calculate $$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right].$$$
Solution
$$$\left[\begin{array}{ccc}{\color{Chartreuse}4} & {\color{BlueViolet}5} & {\color{OrangeRed}7}\\{\color{Chocolate}2} & {\color{Violet}1} & {\color{DarkMagenta}0}\\{\color{SaddleBrown}-1} & {\color{Brown}-2} & {\color{GoldenRod}1}\end{array}\right] + \left[\begin{array}{ccc}{\color{Chartreuse}2} & {\color{BlueViolet}3} & {\color{OrangeRed}0}\\{\color{Chocolate}8} & {\color{Violet}9} & {\color{DarkMagenta}5}\\{\color{SaddleBrown}1} & {\color{Brown}1} & {\color{GoldenRod}7}\end{array}\right] = \left[\begin{array}{ccc}{\color{Chartreuse}\left(4\right)} + {\color{Chartreuse}\left(2\right)} & {\color{BlueViolet}\left(5\right)} + {\color{BlueViolet}\left(3\right)} & {\color{OrangeRed}\left(7\right)} + {\color{OrangeRed}\left(0\right)}\\{\color{Chocolate}\left(2\right)} + {\color{Chocolate}\left(8\right)} & {\color{Violet}\left(1\right)} + {\color{Violet}\left(9\right)} & {\color{DarkMagenta}\left(0\right)} + {\color{DarkMagenta}\left(5\right)}\\{\color{SaddleBrown}\left(-1\right)} + {\color{SaddleBrown}\left(1\right)} & {\color{Brown}\left(-2\right)} + {\color{Brown}\left(1\right)} & {\color{GoldenRod}\left(1\right)} + {\color{GoldenRod}\left(7\right)}\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$
Answer
$$$\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\-1 & -2 & 1\end{array}\right] + \left[\begin{array}{ccc}2 & 3 & 0\\8 & 9 & 5\\1 & 1 & 7\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$A