System of linear equations

A linear system in three variables determines a collection of planes. The intersection point is the solution.

Mathematics me, ek system of linear equations (nai to linear system) ek linear equation equation ke collection hae, jisme same set of variables rahe hae. Jaise ki,

$\begin{alignat}{7} 3x &&\; + \;&& 2y &&\; - \;&& z &&\; = \;&& 1 & \\ 2x &&\; - \;&& 2y &&\; + \;&& 4z &&\; = \;&& -2 & \\ -x &&\; + \;&& \tfrac{1}{2} y &&\; - \;&& z &&\; = \;&& 0 & \end{alignat}$

References

Textbooks

• Axler, Sheldon Jay (1997), Linear Algebra Done Right (2nd ed.), Springer-Verlag, ISBN 0387982590 
• Lay, David C. (August 22, 2005), Linear Algebra and Its Applications (3rd ed.), Addison Wesley, ISBN 978-0321287137 
• Meyer, Carl D. (February 15, 2001), Matrix Analysis and Applied Linear Algebra, Society for Industrial and Applied Mathematics (SIAM), ISBN 978-0898714548, archived from the original (http://www.matrixanalysis.com/DownloadChapters.html). Template:Citation error, http://www.matrixanalysis.com/DownloadChapters.html 
• Poole, David (2006), Linear Algebra: A Modern Introduction (2nd ed.), Brooks/Cole, ISBN 0-534-99845-3 
• Anton, Howard (2005), Elementary Linear Algebra (Applications Version) (9th ed.), Wiley International 
• Leon, Steven J. (2006), Linear Algebra With Applications (7th ed.), Pearson Prentice Hall 
• Strang, Gilbert (2005), Linear Algebra and Its Applications 

Bahaari jorr

• Online Equations Solver
• Online linear solver
• Lec 1| 18.06 Linear Algebra, Spring 2005, (W. Gilbert Strang), School: MIT