Consider the ordered bases B=((4,3),(?7,?5)) and C=((?2,0),(?4,?1)) for the vector space R2. a). Find the transition matrix from C to the standard ordered basis E=((1,0),(0,1)). TEC=
b). Find the transition matrix from B to E. TEB=
c). Find the transition matrix from E to B. TBE=
d). Find the transition matrix from C to B. TBC=
e). Find the coordinates of u=(1,2) in the ordered basis B. Note that [u]B=TBE[u]E. [u]B=
f). Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]C=(1,2). [v]B=