- #1
MathematicalPhysicist
Gold Member
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is this elimination used only in 3*3 matrix?
Gaussian Elimination is a method used to solve systems of linear equations. It involves using a series of row operations to transform the equations into a form that is easier to solve.
Gaussian Elimination works by using three types of row operations: multiplication, addition, and swapping. These operations are used to reduce the coefficients of the variables in the equations, making it possible to solve for the variables.
Gaussian Elimination is a powerful tool for solving systems of linear equations because it is both efficient and accurate. It can handle systems with any number of variables, and it produces a unique solution for every system.
While Gaussian Elimination is a useful method, it does have some limitations. It cannot be used on systems with infinite solutions or no solutions. It also becomes more computationally expensive as the number of variables in the system increases.
Gaussian Elimination is used in a variety of fields, including engineering, physics, and economics. It is often used to solve problems involving multiple equations and unknown variables, such as calculating the forces in a bridge or determining the optimal production levels for a company.