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Consider the following sets. (i) The set of all vectors in R of the form (a, 5a, 3a). (ii) The set of all polynomials

Consider the following sets. (i) The set of all vectors in R of the form (a, 5a, 3a). (ii) The set of all polynomials ao + ajx + azx in P2 such that aoa1 + 0. (iii) The set of all invertible matrices in M33. Determine if each of the above sets is a subspace (1) or is NOT a subspace (2) for the given vector space.

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