(a) Is the functionj(x) = x + 5 in the subspace spanned by g(x) = x + 1 and h(x) = x + 3
Chapter 4, Problem 19(choose chapter or problem)
(a) Is the functionj(x) = x + 5 in the subspace spanned by g(x) = x + 1 and h(x) = x + 3? (b) Is the function J(x) = 3x2 + 5x + 1 in the subspace spanned by g(x) = 2x2 + 3 and h(x) = x 2 + 3x - 1? (c) Give three other functions in the space spanned by g(x) = 2x2 + 3 and h(x) = x 2 + 3x - 1. (d) Give a basis for the space spanned by J(x) = 2x + 3, g(x) = x - l ,andh(x) = -x - 4.
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