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), Template:Citation/make link (2nd ed.), Springer-Verlag, Template:Citation/identifier
• Lay, David C. (August 22, 2005), Template:Citation/make link (3rd ed.), Addison Wesley, Template:Citation/identifier
• Meyer, Carl D. (February 15, 2001), Template:Citation/make link, Society for Industrial and Applied Mathematics (SIAM), Template:Citation/identifier, http://www.matrixanalysis.com/DownloadChapters.html
• Poole, David (2006), Template:Citation/make link (2nd ed.), Brooks/Cole, Template:Citation/identifier
• Anton, Howard (2005), Template:Citation/make link (9th ed.), Wiley International
• Leon, Steven J. (2006), Template:Citation/make link (7th ed.), Pearson Prentice Hall
• Strang, Gilbert (2005), Template:Citation/make link

Bahaari jorr

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