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YCor
YCor
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If D$D$ is a field then every matrix of SLn(R)$\mathrm{SL}_m(R)$ can be written as product of elementary matrices for n is$m$ not equal to 2, because for n=2$m=2$ Cohn givegives an example which contradict this result. For GLn(R)$\mathrm{GL}_m(R)$ how you can say?

If D is a field then every matrix of SLn(R) can be written as product of elementary matrices for n is not equal to 2, because for n=2 Cohn give an example which contradict this result. For GLn(R) how you can say?

If $D$ is a field then every matrix of $\mathrm{SL}_m(R)$ can be written as product of elementary matrices for $m$ not equal to 2, because for $m=2$ Cohn gives an example which contradict this result. For $\mathrm{GL}_m(R)$ how you can say?

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Ram Krishna Verma
Ram Krishna Verma
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If D is a field then every matrix of SLn(R) can be written as product of elementary matrices for n is not equal to 2, because for n=2 Cohn give an example which contradict this result. For GLn(R) how you can say?