Q11

Consider the ordered bases B = {-(5 + 6x), 1 + x} and C = {2 - x, 3x - 3} for the vector space P2. a. Find the transition matrix from C to the standard ordered basis & = {1, x}. TE b. Find the transition matrix from B to E. TB = c. Find the transition matrix from & to B. TH = d. Find the transition matrix from C to B. TH = e. Find the coordinates of p(a) = 2 - 3x in the ordered basis B. [p(z) ]B = f. Find the coordinates of q(x ) in the ordered basis B if the coordinate vector of q(x ) in C is [q(x)]c = [ ]. [q(x) ] B = Note: You can earn partial credit on this problem. 40.006