Find the new coordinate vector for the vector it after performing the specied change oi basis. 1o} Consider two bases 3 = {'31, 1:2} and C ={c1, :2} for a vector space V such that 1:] = c] Ecg and log = 5c] + 4c} Suppose I = b1 + Slag. That is, suppose [x13 = E] Find [1:10 1?) Consider two bases 3 = {[31, b2. b3} and C = {c1, c2, c3} for a vector space V such that I in: c1+ 2c3, 112 = c1+ 5c; - c3, and 1:3 =3c1 - :2. Suppose x = 1:1 +4112 +153. That is. suppose [x13 = [:4] I Find [alga Find the specified change-ofcoordinates matrix (Transition Matrix}. 15} Let E = {bL b2}and C: {EL c2}. be bases for 12, where b1=[iib2=[:]--=1ea1'3~ Find the change-ofcoordinates matrix from B to C. Find the specified change-ofcoordinates matrix. 19) Consider two bases B = {[31, 112} and C = {1, :2} for a vector space Vsuch that b1 = :1 - 5:2 and 112 = 21:1 - 44:2. Find the change-of-coordinates matrix from B to C. It!) Consider mo bases 3 = {by 132} and C = {C1, :2} for a vector space V such that b] = q 2c: and b2 = 3s] 4:2. Find the change-ofooordinates matrix from B to C