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I have to finding any solution (there may exist many or none) of any number of given liner equations with any number of variables. In Java. What libraries and method use? What to implement? I want to make it with at least work as possible.
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A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. When we consider a system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the equations.
The article explains how to solve a system of linear equations using Python's Numpy library. You can either use linalg. inv() and linalg. dot() methods in chain to solve a system of linear equations, or you can simply use the solve() method.
The solution of linear equations in two variables, ax+by = c, is a particular point in the graph, such that when x-coordinate is multiplied by a and y-coordinate is multiplied by b, then the sum of these two values will be equal to c. Basically, for linear equation in two variables, there are infinitely many solutions.
In Python, NumPy (Numerical Python), SciPy (Scientific Python) and SymPy (Symbolic Python) libraries can be used to solve systems of linear equations. These libraries use the concept of vectorization which allow them to do matrix computations efficiently by avoiding many for loops.
Try the Apache Commons Math solvers http://commons.apache.org/math/userguide/linear.html
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