Let H be the set of all vectors of the form (a – 3b, b – a, a, b) where a and b are arbitrary scalars. That is, let H={(a – 3b, b – a, a, b): a and b in R }. Show that either H is a subspace of R4 or not?

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.