Consider the ordered bases B = ((5,-9), (-1,2)) and C = ((3, 1), (-4, 3)) for the vector space R². a. Find the transition matrix from C to the standard ordered basis E = ((1, 0), (0, 1)). TE= b. Find the transition matrix from B to E. TE= c. Find the transition matrix from E to B. TB = d. Find the transition matrix from C to B. TB = e. Find the coordinates of u = (-2,-1) in the ordered basis B. Note that [u] B = Tu]E [u]B= f. Find the coordinates of u in the ordered basis B if the coordinate vector of u in C is [v]c = (-2, 1). [U]B=

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