Question:

Let B=(-x+x2, -2x +x²,2-3x+x²). (a) Show that B spans P2.

Last updated: 7/16/2022

Let B=(-x+x2, -2x +x²,2-3x+x²). (a) Show that B spans P2.

Let B=(-x+x2, -2x +x²,2-3x+x²). (a) Show that B spans P2. (b) Hence, explain why B forms a basis for P₂. (c) Find the coordinate vector of 22 relative to the basis B.