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easy way to solve elementary row or column transformation

Thereisnoassuchtrickforsolving3×3ordermatrixbyelementaryrowtransformation.Wejustneedtokeepinmindthat,whileconvertingthemainmatrixintoidentitymatrix,weshouldnotdisturbtheelementconvertedinprevioussteps.So,iamsuggestingyouapath,toconvertthematrixintoidentitymatrix.Thispathwillenableyoutoproceedsuccessfully.Firstofallmakea11=1,thena21=0,a31=0,a32=0,a33=1,a23=0,a22=1,a12=0,a13=0.. similarly in column transformation.. try it.. rok on..:)

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solve [2    5
        1     3]  by using elementary row transformation

 
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2*2 matrix solution

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Bhagwan par choodh dai
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Hey for elementary transformation there is no trick . But the below format of doing will help you:

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