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1.Let f t 2P jf(0) = f(1)g. Show that is a subspace of and ...
euclid.colorado.edu1.Let V = ff(t) 2P 3jf(0) = f(1)g. Show that V is a subspace of P 3 and nd a basis of V. The neutral element of P 3 is the function n(t) = 0. In particular, n(0) = 0 = n(1), so n(t) 2V. ... Show that V is a subspace of R 3 and nd a basis of V. The neutral element is the 3 T3 zero matrix 0. Clearly 0 = 0, so 0 …