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Let V be the vector space of all functions f : R right arrow R. Determine whether the following subsets of V form subspaccs of V. Give reasons, i. e. , prove or disprove that the subset is a subspace. U = {f V|f (0) = o} W = {f V |f (x) = k1 + K2 sin x for some k1, k2. , R} Show transcribed image text Let V be the vector space of all functions f : R right arrow R. Determine whether the following subsets of V form subspaccs of V. Give reasons, i. e. , prove or disprove that the subset is a subspace. U = {f V|f (0) = o} W = {f V |f (x) = k1 + K2 sin x for some k1, k2. , R}
Let V be the vector space of all functions f : R right arrow R. Determine whether the following subsets of V form subspaccs of V. Give reasons, i. e. , prove or disprove that the subset is a subspace. U = {f V|f (0) = o} W = {f V |f (x) = k1 + K2 sin x for some k1, k2. , R}
Show transcribed image text Let V be the vector space of all functions f : R right arrow R. Determine whether the following subsets of V form subspaccs of V. Give reasons, i. e. , prove or disprove that the subset is a subspace. U = {f V|f (0) = o} W = {f V |f (x) = k1 + K2 sin x for some k1, k2. , R} 0
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