Determine whether the set R^2 with operations (x1, y1) + (x2, y2) = (x1, x2, y1, y2) and c(x1, y1) = (cx1, cy1) is a vec
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Determine whether the set R^2 with operations (x1, y1) + (x2, y2) = (x1, x2, y1, y2) and c(x1, y1) = (cx1, cy1) is a vec
Determine whether the set R^2 with operations (x1, y1) + (x2, y2) = (x1, x2, y1, y2) and c(x1, y1) = (cx1, cy1) is a vector space. If it is, verify each vector space axiom; if it is not, state all vector space axioms that fail.
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