👉 Simultaneous Equations Solver
Simple tool to solve systems of equations
Numpy (for solving using matrices)
String (native Python module)
Systems of equations can be modelled as matrices in order to solve them
The concept and example illustrated below explain the calculations that occur:
$$
A
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix}
= C
$$
$$
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix}
= A^{-1} C
$$
$$ 3x+2y-z=11 $$
$$ 2x-3y+z=7 $$
$$ 5x+y-2z=12 \ $$
$$
\therefore
\begin{bmatrix}
3 & 2 & -1 \\
2 & -3 & 1\\
5 & 1 & -2
\end{bmatrix}
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix}
=
\begin{bmatrix}
11 \\
7 \\
12
\end{bmatrix} \\
$$
$$
\therefore
\begin{bmatrix}
x \\
y \\
z
\end{bmatrix}
=
\begin{bmatrix}
3 & 2 & -1 \\
2 & -3 & 1\\
5 & 1 & -2
\end{bmatrix}^{-1}
\begin{bmatrix}
11 \\
7 \\
12
\end{bmatrix}
=
\begin{bmatrix}
4 \\
2 \\
5
\end{bmatrix} \\
$$
$$ x=4 \ $$
$$ y=2 \ $$
$$ z=5 $$
Only supports three variables at the moment
Doesn't currently support float inputs
