Are the following sets bases for the given vector spaces (a) {f, g} where J(x) = x and

Chapter 4, Problem 21

(choose chapter or problem)

Are the following sets bases for the given vector spaces? (a) {f, g} where J(x) = x and g(x) = x + 1, for Pi (b) {f, g} where J(x) = x - 3 andg(x) = -2x + 6, for Pi (c) {f, g} where J(x) = x, g(x) = x + 1, h(x) = x + 2, for Pi (d) {f, g, h} where J(x) = x, g(x) = x + 1, h(x) = x2 + x + 1, for P2 (e) {f, g, h} where J(x) = x2 + x, g(x) = x + 1, h(x) = 2, for P2 (f) {f, g, h} where J(x) = x 2 + 1, g(x) = x2 - 1, h(x) = 2x2, for P2

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