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Mathematics, 26.03.2021 01:10 sandrathompson7250
. A subset H of a vector space V is a subspace of V if the following conditions are satisfied: (i) the zero vector of V is in H, (ii) u, v, and uv are in H, and (iii) c is a scalar and cu is in H. Is this statement true or false? A. False; parts (ii) and (iii) should state that u and v represent all possible elements of H. B. True; this is the definition of a subspace. C. False; part (i) is not required. D. False; these conditions are stated correctly, however there is at least one additional condition.
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