Question: Consider the ordered bases B = {[31 S], [2 3] } and C' = {[ 52 05], [5 2] } for the vector space V

Consider the ordered bases B = {[31 S], [2 3] } and C' = {[ 52 05], [5 2] } for the vector space V of lower triangular 2 X 2 matrices with zero trace. rhatis.V={(\" a) :a+d=0}. c d a. Find the change of basis matrix from C to B. P _ oo oo 2 b. Find the coordinates of M in the ordered basis B if the coordinate vector ofM in C is [M19 = |: ]. M_ DD _ DD

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