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Show that the ridge estimator is (1) biased but (2) more efficient than the ordinary least squares estimator when X is non-orthonormal but full rank.

Show that the ridge estimator is (1) biased but (2) more efficient than the ordinary least squares estimator when X is non-orthonormal but full rank. Hint: For the efficiency use SVD and some convincing arguments. Matrix inequalities is not required

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