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Maths: Three-by-three linear systems.

1. Solving three-by-three linear systems.
Three-by-three linear systems are part of most mathematics courses. Such systems are made of 3 linear equations in 3 variables; gerneral form:
    a1x + b1y + c1z = d1
    a2x + b2y + c2z = d2
    a3x + b3y + c3z = d3
The variables x, y and z must satisfy all three equations. The system may have one unique solution (with x, y and z being unique real numbers), no solution or an infinity of solutions.
If you are not sure how to proceed to solve this kind of equations, you may want to have a look at my maths tutorial: 2-by-2 and 3-by-3 linear equation systems.
2. Three-by-three linear systems online exercise generator.
My online web application is based on my Free Pascal desktop application Equations3, that may be downloaded in the Free Pascal GUI Applications section of my site. The application generates a system of 3 equations in their simplest form (just as described above) and the user has to enter the system's solution.
Use the following link to start the online application. For details about the Perl source code, see below...
3. Three-by-three linear systems Perl script.
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