Question: fProblem 1 (15pts). Let u E R be a given unit vector (i.e., lull2 = 1). The orthogonal projection of the identity matrix I onto

\fProblem 1 (15pts). Let u E R" be a given unit vector (i.e., lull2 = 1). The orthogonal projection of the identity matrix I onto the linear subspace Lu = {ux txu esn : x ERn] CSn is, by definition, the solution to the following optimization problem: min (I - (ux] txu])) . ( I - (ux] + xu]) ). (1) CERn

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