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Let u = [-2,1,3,1] and let v = [1,4,0,1]. a. Determine the projector P1 that projects...

Let u = [-2,1,3,1] and let v = [1,4,0,1]. a. Determine the projector P1 that projects onto the subspace S1 spanned by the vector u. What isthe rank of P1? b. Determine the projector that projects onto the orthogonal complement of S1. c. Determine the projector P2 that projects onto the subspace S2 spanned y the vectors {u,v}. What is the rank of P2? d. Determine an orthogonal projector that projects onto the orthogonal complement of S2. e. Verify that P1 and P2 are idempoent.

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