3X3 SYSTEM OF EQUATIONS SOLVER WITH WORK HOW TO
Let's now see how to solve a system of linear equations with the Numpy library. If you have not already installed the Numpy library, you can do with the following pip command: $ pip install numpy The Numpy library from Python supports both the operations. Solving a System of Linear Equations with Numpyįrom the previous section, we know that to solve a system of linear equations, we need to perform two operations: matrix inversion and a matrix dot product.
To understand the matrix dot product, check out this article. If you are not familiar with how to find the inverse of a matrix, take a look at this link to understand how to manually find the inverse of a matrix. To do so, we can take the dot product of the inverse of matrix A, and the matrix B as shown below: X = inverse(A).B To find the value of x and y variables in Equation 1, we need to find the values in the matrix X. For instance, we can represent Equation 1 in the form of a matrix as follows: A = In the matrix solution, the system of linear equations to be solved is represented in the form of matrix AX = B. In this article we will cover the matrix solution. There are multiple ways to solve such a system, such as Elimination of Variables, Cramer's Rule, Row Reduction Technique, and the Matrix Solution. To solve the above system of linear equations, we need to find the values of the x and y variables.
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