Consider the ordered bases B = ace V of upper triangular 2 x 2 matrices. Find the transition matrix from C to B. -C33²2) and=6³1²3 =]B = Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]c = 1 Find M. and C = ( ) for the vector

Calculate the 2X2 matrix A for which £, (2) ₁ Eo = span { -(3) 5 that is. all e- vectors associated to the e-value à can be written as a real number number times v. } and E₂= span { The first row of A has entries The second row of A has entries } where E = span {v}, λ and and

Let u and v be column vectors from Rn and define A = I + uvT, where I E Rnxn is the identity matrix. What is the operation count for producing matrix A.

Let y = 0 and u = Into A enter UTU. Into B enter UUT. Into Center projwy. Into D enter (UUT)y. T let U be the 2x1 matrix whose only column is u, and let W span(u).