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  3. hi can anyone please explain in details why they are...

Question: hi can anyone please explain in details why they are...

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Hi can anyone please explain in details why they are direct sums ? I don’t get it why the intersection of U and W is zero? Isn’t the intersection of U and W (x,y? Please explain

3. Suppose W ((x, x, y.y) E R: ,y R) which is a subspace of R. Find another subspace U of R such that R- WU.(2 pt) Solution: Choose U {(0,1,0, y) E R4 : x, y E R}. One can prove that
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