Verify that Ue direct sum Uo
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Suppose U={(x,y,0)∈F3:x,y∈F} and W={(0,0,z)∈F3:z∈F}. Then F3=U⊕W. But why? U+W={(x,y,z)∈F3:x,y,z∈F}. But can't I express the sum ...
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