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The system {S,+,.} with S = { matrix (a,b,a-b,a)|a,b ∊ R)

is not a field under matrix addition (+) and matrix multiplication (.)

i find that the statement is false .

since : 1. {S,+} is Abelian group.

2. {S,.} : is Abelian group.

is my finding is true ?

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# True or false ?

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