voko said:I do not see anything special about this system. Show us what goes wrong for you.
Gaussian elimination is a method used to solve systems of linear equations. It involves performing operations on the equations to eliminate variables until only one variable remains in each equation. This allows us to easily solve for the remaining variables and find the solution to the system.
Gaussian elimination is important because it provides a systematic way of solving systems of equations that can become very complex. It also allows us to easily find the solution to a system of equations without having to guess and check or use other trial-and-error methods.
The main steps in Gaussian elimination are: 1) putting the equations into a matrix form, 2) using row operations to eliminate variables and create zeros in the matrix, 3) back-substituting to solve for the remaining variables, and 4) checking the solution by plugging it back into the original equations.
Yes, Gaussian elimination can be used to solve any system of linear equations. However, it may not always be the most efficient method, especially for larger systems. In some cases, other methods such as graphing or substitution may be more effective.
One limitation of Gaussian elimination is that it can only be used to solve systems of linear equations. It cannot be applied to systems involving nonlinear equations. Additionally, if a system has infinitely many solutions or no solutions, Gaussian elimination may not provide a unique solution. In these cases, other methods or further analysis may be needed.