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
$$$\left[\begin{array}{ccc}{\color{DeepPink}4} & {\color{Purple}5} & {\color{BlueViolet}7}\\{\color{Brown}2} & {\color{Magenta}1} & {\color{Chocolate}0}\\{\color{Peru}-1} & {\color{Blue}-2} & {\color{DarkBlue}1}\end{array}\right] + \left[\begin{array}{ccc}{\color{DeepPink}2} & {\color{Purple}3} & {\color{BlueViolet}0}\\{\color{Brown}8} & {\color{Magenta}9} & {\color{Chocolate}5}\\{\color{Peru}1} & {\color{Blue}1} & {\color{DarkBlue}7}\end{array}\right] = \left[\begin{array}{ccc}{\color{DeepPink}\left(4\right)} + {\color{DeepPink}\left(2\right)} & {\color{Purple}\left(5\right)} + {\color{Purple}\left(3\right)} & {\color{BlueViolet}\left(7\right)} + {\color{BlueViolet}\left(0\right)}\\{\color{Brown}\left(2\right)} + {\color{Brown}\left(8\right)} & {\color{Magenta}\left(1\right)} + {\color{Magenta}\left(9\right)} & {\color{Chocolate}\left(0\right)} + {\color{Chocolate}\left(5\right)}\\{\color{Peru}\left(-1\right)} + {\color{Peru}\left(1\right)} & {\color{Blue}\left(-2\right)} + {\color{Blue}\left(1\right)} & {\color{DarkBlue}\left(1\right)} + {\color{DarkBlue}\left(7\right)}\end{array}\right] = \left[\begin{array}{ccc}6 & 8 & 7\\10 & 10 & 5\\0 & -1 & 8\end{array}\right]$$$
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