!! used as default html header if there is none in the selected theme. Parmsys

Parmsys --- Introduction ---

A system of linear equations has 3 possibilities concerning its solution: it may have several solutions, a unique solution, or no solution at all. the type of solution of the system depends essentially on its coefficients. In particular, if the coefficients of a system depend on one or more parameters, the type of solution may vary according to the values of the parameters, which constitutes an important mathematical phenomene.

Parmsys is therefore an exercise designed to help you understand this phenomenon concerning linear systems with parameters. The server will propose such a system to you, and then ask you to determine which conditions on the parameters lead to which type of solution.

The principal tool used to solve the problem is the method of Gauss elimination. Therefore, the exercise incorporates a user-friendly interface allowing you to simplify the system by the method of Gauss, before replying to the questions.

Choose a level of difficulty suitable for you: 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 .

Detailed menu

Other exercises on: linear_systems   Linear algebra  

The most recent version
This page is not in its usual appearance because WIMS is unable to recognize your web browser.
In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press ``Enter''.

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.