Are the following sets bases for the given vector spaces (a) {J, g, h} where J(x) = x 2

Chapter 4, Problem 20

(choose chapter or problem)

Are the following sets bases for the given vector spaces? (a) {J, g, h} where J(x) = x 2 + 2x - 1, g(x) = x + 3, h(x) = x 2 + 3x + 2, for P2 (b) {J, g, h} where J(x) = x 2 + x - 3, g(x) = x 2 - x + 1, h(x) = x 2 + x - 1, for P2 (c) {[ (d) { [ l [ l [ !]} ,forM22 (e) {(2 - 3i, 1 + 4i), ( 1 + i, 2)}, for C 2 (f) {(1 + 2i, 3 - i, 1), (4 + i, 3i, 1 + i), (-2 + 3i,6 - Si, 1 - i)},forC3

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