Mathematics II - Old Questions

18. What do you mean by change of basis in Rⁿ? Let and consider the bases for R² given by B = {b₁, b₂} and C = {c₁, c₂}.

a) Find the change of coordinate matrix from C to B.

b) Find the change of coordinate matrix from B to C.

OR

Define vector spaces, subspaces, basis of vector space with suitable examples. What do you mean by

linearly independent set and linearly dependent set of vectors?