Base change/123/471/025 and 024/661/35-2/Point with coordinates 254/General/Exercise

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We consider the families of vectors

in .

a) Show that and are both a basis of .

b) Let denote the point which has the coordinates with respect to the basis . What are the coordinates of this point with respect to the basis ?

c) Determine the transformation matrix which describes the change of basis

from to .