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Mathematics, 16.03.2020 23:29 sssssaaaaaddddd5712

Let R be a euclidean domain. Let En(R) be the subgroup of GLn(R) generated by all matrices of the form I + λ where λ is a matrix with precisely one non zero entry and this entry does not occur on the diagonal and I is the n × n identity matrix. Show that SLn(R) = En(R).

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Let R be a euclidean domain. Let En(R) be the subgroup of GLn(R) generated by all matrices of the fo...
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