2. Let P2(R) be the vector space of polynomials over R up to degree 2. Consider {1+x – 2a?, –1+r + x², 1 – x + x?}, {1– 3x + x², 1 – 3x – 2a², 1 – 2.x + 3r²} . В B' (a) Show that B and B' are bases of P2(R). (b) Find the coordinate matrices of p(x) = 9x2 + 4x – 2 relative to the bases B and B'. (c) Find the transition matrix PBB'. (d) Verify that [x(p)]B' = PB-B' (x(p)B].

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