سِڌِر مساواتُن جو سرشتو: جي ورجائن ۾ تفاوت

 

[[سڌر آلجبرا]]، جديد رياضيات جو بنياد آهي، جڏهن ته سڌر سرشتن جو نظريو وري [[سڌر آلجبرا]] جي هڪ شاخ آهي.

 

Computational [[algorithm]]s for finding the solutions are an important part of [[numerical linear algebra]], and such methods play a prominent role in [[engineering]], [[physics]], [[chemistry]], [[computer science]], and [[economics]]. A system of non-linear equations can often be [[approximation|approximated]] by a linear system (see [[linearization]]), a helpful technique when making a [[mathematical model]] or [[computer simulation]] of a relatively complex system.

The number of vectors in a basis for the span is now expressed as the ''[[rank (linear algebra)|rank]]'' of the matrix.

 

[[عڪس:Intersecting Lines.svg|thumb|right|The solution set for the equations {{nowrap|''x'' − ''y'' {{=}} −1}} and {{nowrap|3''x'' + ''y'' {{=}} 9}} is the single point (2, 3).]]

A '''solution''' of a linear system is an assignment of values to the variables {{nowrap|''x''₁, ''x''₂, ..., ''x_n''}} such that each of the equations is satisfied. The [[Set (mathematics)|set]] of all possible solutions is called the '''[[solution set]]'''.