In Exercises 1-2: (a) Find the coordinate vectors [x]B and [x]C of x with respect to the
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(a) Find the coordinate vectors [x]B and [x]C of x with respect to the bases B and C, respectively.
(b) Find the change-of-basis matrix PCB from B to C.
(c) Use your answer to part (b) to compute [x]C, and compare your answer with the one found in part (a).
(d) Find the change-of-basis matrix PBC from C to B.
(e) Use your answers to parts (c) and (d) to compute [x] and compare your answer with the one found in part (a).
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