- #1
TonyC
- 86
- 0
2 1 1 | 4
-1 2 1 | 3
7 6 5 | 19
Need a little help please
-1 2 1 | 3
7 6 5 | 19
Need a little help please
Gaussian Elimination is a method used to solve systems of linear equations. It involves transforming the equations into a triangular form by using elementary row operations, and then solving for the variables starting from the bottom equation and working upwards.
Gaussian Elimination works by using elementary row operations such as multiplying a row by a constant, swapping rows, and adding one row to another to transform the equations into a triangular form. This allows for the system of equations to be solved by back substitution.
Gaussian Elimination is commonly used in mathematics, physics, and engineering to solve systems of linear equations. It is also used in computer science for solving systems of equations in algorithms and in machine learning for solving systems of equations in models.
The purpose of Gaussian Elimination is to find the solution to a system of linear equations. This can be useful in many applications, such as determining the intersection of lines or planes, finding the optimal solution in optimization problems, and solving systems of equations in scientific and engineering problems.
No, there are other methods for solving systems of linear equations, such as Cramer's rule and matrix inversion. However, Gaussian Elimination is often preferred due to its efficiency and ability to handle large systems of equations.