Question: (1 point) Consider the ordered bases B = ((1, l), (6, 5)) and C = ((3, 0), (1, 3)) for the vector space R2. a.

(1 point) Consider the ordered bases B = ((1, l),(1 point) Consider the ordered bases B = ((1, l),
(1 point) Consider the ordered bases B = ((1, l), (6, 5)) and C = ((3, 0), (1, 3)) for the vector space R2. a. Find the transition matrix from C to the standard ordered basis E = ((1, 0), (0, 1)). E- TC b. Find the transition matrix from B to E. T: = c. Find the transition matrix from E to B. TE: d. Find the transition matrix from C to B. T3 = C e. Find the coordinates of u = (2, 3) in the ordered basis B. Note that [s] B = T[u] E. ["]B = f. Find the coordinates of y in the ordered basis B if the coordinate vector of v in C is [v]C = (1, 1). [013 = (1 point) Find the representation of (7, -9, 6) in each of the following ordered bases. Your answers should be vectors of the general form . a. Represent the vector (7, -9, 6) in terms of the ordered basis B = (1, j, k). [(7, -9,6) ]B = b. Represent the vector (7, -9, 6) in terms of the ordered basis C = (e3, e1, e2). [(7, -9, 6) ]c = c. Represent the vector (7, -9, 6) in terms of the ordered basis D = {-e2, -e1, e3). [(7, -9,6) ]D =

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