Consider a vector space V = R2 over R. Define U = {(x, y)/x, y e...

 

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Consider a vector space V = R2 over R. Define U = {(x, y)/x, y e [0, c0)}.Is U a subspace of R2? Now suppose W {(-a, b) / a,b e [0, co0)} c V, i.e. the second quadrant. Define a new subset of V such that S = (U + W) c V. Is S a subspace of V? Consider a vector space V = R2 over R. Define U = {(x, y)/x, y e [0, c0)}.Is U a subspace of R2? Now suppose W {(-a, b) / a,b e [0, co0)} c V, i.e. the second quadrant. Define a new subset of V such that S = (U + W) c V. Is S a subspace of V?