Question: Section 3.5 Change of Basis: Problem 12 (1 point) Consider the ordered bases Hi2 33H? sum 4 U 5 U C = { [4 4J7

Section 3.5 Change of Basis: Problem 12 (1 point) Consider the ordered bases Hi2 33H? sum 4 U 5 U C = { [4 4J7 l 5 5J } for the vector space V of lower triangular 2 X 2 matrices with zero trace. a. Find the transition matrix from C to B. Hint: use the standard basis}- : { [(1) 31]\" [2 3] }. TB _ C] C] O _ C] D b. Find the coordinates of M in the ordered basis 3 if the 1 coordinate vector of M in C is [Mk 2 [ 1]

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