# Some beautiful observation for the system of linear equations

May 29th, 2015
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• If α1, α2….αn and β1….βn are the solution of a system of linear equation then ((1-t)α1 + t β1 ,……, (1-t)αn + t βn ) will also be a solution.

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Some beautiful observation for the system of linear equationsIf 1, 2.n and 1.n are the solution of a system of linear equation then ((1-t)1 + t 1 ,, (1-t)n + t n ) will also be a solution.LetAs an example by above method the nth term of Fibonacci series easily can be determined as (I never thought the solution of Fibonacci series can be given so easily and hence the data encryptor based on the series can be achieved) For any square Matrix with the below condition:Then it can be proved that A is row equivalent to for example For the system of linea

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