سِڌِر مساواتُن جو سرشتو: جي ورجائن ۾ تفاوت

سنوار جو تَتُ ڪونهي
 
== خاصيتون ==
=== Independenceآجپو ===
The equations of a linear system are '''independent''' if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set. For linear equations, logical independence is the same as [[linear independence]].
 
[[عڪس:Three Intersecting Lines.svg|thumb|rightleft|The equations {{nowrap|''x'' − 2''y'' {{=}} −1}}, {{nowrap|3''x'' + 5''y'' {{=}} 8}}, and {{nowrap|4''x'' + 3''y'' {{=}} 7}} are not linearly independent.]]
 
For example, the equations
مثال طور، مساواتون
 
:<math>3x+2y=6\;\;\;\;\text{and}\;\;\;\;6x+4y=12</math>
 
are not independent- they are the same equation when scaled by a factor of two, and they would produce identical graphs. This is an example of equivalence in a system of linear equations.
آجيون ناهن. انهن مان هڪ سماوات، ٻي مساوات جي پيمايل صورت آهي. اهو سڌر مساواتن ي سرشتي اندر برابريءَ جو هڪ مثال آهي.
 
For a more complicated example, the equations
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سنوارون