4. (10 points) Let Vi = (5,1), V2 = (4,1) be two vectors in R2. The V1, V2 have been chosen so that they are linearly independent and hence form a basis B = {V1, V2} of R2. Let S = {(1,e2} be the standard basis of R [54 1 (b) If the vector v ERP has coordinates (v)b = (2,1) in the basis B, what are its coordinates [v]s in the standard basis? () What are the coordinates of e1 = (1,0) (these are in the standard basis) in the basis B? 4. (10 points) Let Vi = (5,1), V2 = (4,1) be two vectors in R2. The V1, V2 have been chosen so that they are linearly independent and hence form a basis B = {V1, V2} of R2. Let S = {(1,e2} be the standard basis of R [54 1 (b) If the vector v ERP has coordinates (v)b = (2,1) in the basis B, what are its coordinates [v]s in the standard basis? () What are the coordinates of e1 = (1,0) (these are in the standard basis) in the basis B