Q12

Consider the ordered bases B = c= (13 -1 4 2 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 TB = b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is 1 [M]c = [M] B = c. Find M. M =