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Exercise 1

Avg difficulty 3.0

Decide if each is a basis for P2\mathcal{P}_{2}.

  • (a)  ⟨x2−x+1,2x+1,2x−1⟩\langle x^{2}-x+1,2x+1,2x-1\rangle     (b)  ⟨x+x2,x−x2⟩\langle x+x^{2},x-x^{2}\rangle

Hefferon, Linear Algebra, Vector Spaces, Basis, Exercise 1

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Adapted from Linear Algebra © 2016 Jim Hefferon. Licensed under CC BY-SA 3.0 US. Source: Linear Algebra. Imported at revision df2262e.