# Matrix Division Calculator

The calculator will find the quotient of two matrices (if possible), with steps shown. It divides matrices of any size up to 7x7 (2x2, 3x3, 4x4 etc.).

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Calculate $$\frac{\left[\begin{array}{ccc}4 & 5 & 7\\2 & 1 & 0\\1 & 2 & 3\end{array}\right]}{\left[\begin{array}{ccc}1 & 1 & 1\\2 & 3 & 4\\3 & 1 & 1\end{array}\right]}.$$$## Solution By definition, $$\frac{A}{B}=A\cdot B^{-1}$$$.

So, first find the inverse of $$\left[\begin{array}{ccc}1 & 1 & 1\\2 & 3 & 4\\3 & 1 & 1\end{array}\right]$$$. $$\left[\begin{array}{ccc}1 & 1 & 1\\2 & 3 & 4\\3 & 1 & 1\end{array}\right]^{-1} = \left[\begin{array}{ccc}- \frac{1}{2} & 0 & \frac{1}{2}\\5 & -1 & -1\\- \frac{7}{2} & 1 & \frac{1}{2}\end{array}\right]$$$ (for steps, see inverse matrix calculator).