Matrix Calculator

This solver will add, subtract, multiply, divide, and raise to power two matrices, with steps shown. It will also find the determinant, inverse, rref (reduced row echelon form), null space, rank, eigenvalues and eigenvectors.

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Your Input

Calculate $$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right].$$$

Solution

$$$\left[\begin{array}{ccc}\color{Fuchsia}{1} & \color{DarkBlue}{0} & \color{Magenta}{0}\\\color{DeepPink}{0} & \color{Crimson}{0} & \color{OrangeRed}{4}\\\color{Green}{0} & \color{Purple}{1} & \color{DarkMagenta}{0}\end{array}\right] + \left[\begin{array}{ccc}\color{Fuchsia}{2} & \color{DarkBlue}{1} & \color{Magenta}{4}\\\color{DeepPink}{5} & \color{Crimson}{7} & \color{OrangeRed}{1}\\\color{Green}{1} & \color{Purple}{2} & \color{DarkMagenta}{5}\end{array}\right] = \left[\begin{array}{ccc}\color{Fuchsia}{\left(1\right)} + \color{Fuchsia}{\left(2\right)} & \color{DarkBlue}{\left(0\right)} + \color{DarkBlue}{\left(1\right)} & \color{Magenta}{\left(0\right)} + \color{Magenta}{\left(4\right)}\\\color{DeepPink}{\left(0\right)} + \color{DeepPink}{\left(5\right)} & \color{Crimson}{\left(0\right)} + \color{Crimson}{\left(7\right)} & \color{OrangeRed}{\left(4\right)} + \color{OrangeRed}{\left(1\right)}\\\color{Green}{\left(0\right)} + \color{Green}{\left(1\right)} & \color{Purple}{\left(1\right)} + \color{Purple}{\left(2\right)} & \color{DarkMagenta}{\left(0\right)} + \color{DarkMagenta}{\left(5\right)}\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$

Answer

$$$\left[\begin{array}{ccc}1 & 0 & 0\\0 & 0 & 4\\0 & 1 & 0\end{array}\right] + \left[\begin{array}{ccc}2 & 1 & 4\\5 & 7 & 1\\1 & 2 & 5\end{array}\right] = \left[\begin{array}{ccc}3 & 1 & 4\\5 & 7 & 5\\1 & 3 & 5\end{array}\right]$$$A