(a) Determine the transition matrix corresponding to a change of basis from the standard basis {e1, e2} to the ordered basis {u1, u2}. Use this transition matrix to find the coordinates of x = (1, 1)T...

(a) Determine the transition matrix corresponding

to a change of basis from the standard

basis {e1, e2} to the ordered basis {u1, u2}. Use

this transition matrix to find the coordinates of

x = (1, 1)T with respect to {u1, u2}.

(b) Determine the transition matrix corresponding

to a change of basis from the ordered basis

{v1, v2} to the ordered basis {u1, u2}. Use this

transition matrix to find the coordinates of

z = 2v1 + 3v2 with respect to {u1, u2}.