I have a matrix M=(A : B), where A is a (36, 24) matrix and B (36, 9) is a matrix. I want reduce B by LLL algorithm. And also want to change A (elementary row operation) according to the changes of B. As an example during LLL if 10th row and 12th row of B are interchanged, we also have to interchange 10th row and 12th row of A. I want to see only the final transformed matrix of M say M1=(A1 : B1). How can we do this efficiently?
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