Mathematics II - Old Questions

18. Let be a basis for a vector space V. Then the coordinate mapping is one-to-one linear transformation from V into Rⁿ. Let 

a) Show that the set  is a basis of R³.

b) Find the change of coordinates matrix for to the standard basis.

c)  Write the equation that relates x in R³ to . 

d) Find for the x give above.