Choose language

PL, EN, ES, DE, FR, RU


Gauss-Crout elimination - solving any systems of equations - calculator


You can calculate any system of linear equations, both homogeneous and heterogeneous with any number of unknowns by Gauss-Crout elimination method. To solve the system of equations using the Gauss-Crout method, enter values by in the text field. the following rule:
- In the first line we enter the number n (number of lines)
- Data from each equation should be entered in separate lines
- The entered coefficients must be separated by at least one space
- The last factor in the line is the factor after the equals sign in equation

eg for a system of equations with five unknowns:

2x1 - 2x2 + 2x3 - 7x4 + 6x5 = -4
7x1 - 3x2 - 2x3 + 7x4 + 2x5 = 11
2x1 + 2x2 - 1x3 + 1x4 + 4x5 = 9
9x1 + 8x2 - 2x3 + 2x4 - 2x5 = 21
4x1 + 8x2 - 3x3 + 3x4 - 1x5 = 16




Solving systems of equations with the improved Gauss-Crout elimination method

a1,1x1  +  a1,2x2  +  a1,3x3  +    ...    +  a1,n-1xn-1  +  a1,nxn  =  b1
a2,1x1  +  a2,2x2  +  a2,3x3  +    ...    +  a2,n-1xn-1  +  a2,nxn  =  b2
a3,1x1  +  a3,2x2  +  a3,3x3  +    ...    +  a3,n-1xn-1  +  a3,nxn  =  b3
...  +  ...  +  ...  +  ...  +  ...  +  ...  =  ...
an-1,1x1  +  an-1,2x2  +  an-1,3x3  +    ...    +  an-1,n-1xn-1  +  an-1,nxn  =  bn-1
an,1x1  +  an,2x2  +  an,3x3  +    ...    +  an,n-1xn-1  +  an,nxn  =  bn








Result



Have you counted? - like and share




Users of this calculator also used

Online tool for drawing graphs of any function.

With this online function graph plotter, you can draw any function. On one graph you can draw any three functions and compare their parameters. You can create graphs for many equations and functions.



Online calculator