Question: Consider the ordered bases B = [-3 0] [-2 3], [-4 0] [-3 4] and and C = [4 0] [1 -4], [3 0] [4

Consider the ordered bases B = [-3 0] [-2 3], [-4 0] [-3 4] and and C = [4 0] [1 -4], [3 0] [4 -3] for the vector space V of lower triangular 2x2 matrices with zero trace. a. Find the transition matrix from C to B . Hint: use the standard basis F = [1 0] [0 -1], [0 0] [1 0] . b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is Mc = [-3][-2] . c. Find M

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