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Details for problem "Linear equation system - Gaussian algorithm"

Quickname: 3339

Suitable for K-12 grades: Grade 9 Grade 10

Junior High School, High School, Senior High School.

Summary

A system of linear equations is to be solved with the Gaussian elimination method.

Examples

A system of linear equations is to be solved with the Gaussian elimination method. (Beispiel für die Lösung) A system of linear equations is to be solved with the Gaussian elimination method. (Example for the solution) A system of linear equations is to be solved with the Gaussian elimination method. (Example for the solution)

Description

A system of linear equations with two to four unknowns is to be solved. According to the number of unknowns a number of linear equations are given.

The names of the unknowns can be chosen from the following naming schemes : x1 to x4, a,b,c,d... or w,x,y,z.
can be named.

The given system will always be solvable unambiguously.

The following types of problems are available:

- Gaussian elimination method with integers

The solution can optionally be output by

- simple indication of the solution

- Output of the triangular form of the equation system, followed by the derivation of the unknowns by incremental substitution.

- the output of the solution steps with to the triangle form, then followed by the derivation of the unknowns by incremental substitution.

If desired, a reference to the application of the Gauss method can be given with the task definition. The number of unknowns and thus the size of the task is selectable. The number of problems can also be set.


Topics: Algebra Arithmetic Equations

Tags: Addition Multiplication Rules

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Customization options for this problem

Parameter
Possible values
Number of problems
1, 2
Solution verbosity
Solutions only, Triangular form, Steps to solve
Type
Gauss, whole nmbrs
Size
2, 3, 4
Variable names
x1,x2,x3,x4, w,x,y,z, a,b,c,d
Mention Gauss Algorithm
Yes, No

Similar problems

Remark
Description
Name and direct link
with only one unknown
Solve a linear equation step-by-step by performing equivalent transformations.


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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.


Deutsche Version dieser Aufgabe
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