Let [u1, u2] and [v1, v2] be ordered bases for R2. Where

(a) Determine the transition matrix corresponding to change of basis from the standard basis [e1,e2] to the ordered basis [111,112]. Use this transition matrix to find the coordinates of

with respect to [u1, u2].
(b) Determine the transition matrix corresponding to change of basis from the basis [v1, v2] to the ordered basis [111,112]. Use this transition matrix to find the coordinates of z = 2v1 + 3v2 with respect to [u1, u2].

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and vi = 121,V2 = 19j 3 ui = 13