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Exercise 11

Avg difficulty 3.0

Find the span of each set and then find a basis for that span.

  • (a)  {1+x,1+2x}\{\hskip 1.00006pt1+x,1+2x\hskip 1.00006pt\} in P2\mathcal{P}_{2}     (b)  {2−2x,3+4x2}\{\hskip 1.00006pt2-2x,3+4x^{2}\hskip 1.00006pt\} in P2\mathcal{P}_{2}

Hefferon, Linear Algebra, Vector Spaces, Basis, Exercise 11

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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.