Why that highlighted condition is true ? How can we prove it ?
I have no idea about elementary operation in this specific way i.e matrix equation and also in row operation we have to do something different

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user560199
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Elementary column operations on a matrix are equivalent to multiplying the matrix on the right by an elementary matrix.
Elementary row operations on a matrix are equivalent to multiplying the matrix on the left by an elementary matrix.
lhf
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That's fine actually I didn't get it properly. but may I know that why only we have just applied elementary operations on B Matrix – user560199 May 20 '18 at 11:55
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@user560199, $(AB)E = A(BE)$. – lhf May 20 '18 at 11:56
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Okay I got it . Thanks – user560199 May 20 '18 at 12:01