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4. Show that for Wnxk = XnxkBkxk with X full rank, P = X(XTX)XT remains unchanged if X is replaced by W. Thus, P

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4. Show that for Wnxk = XnxkBkxk with X full rank, P = X(XTX)XT remains unchanged if X is replaced by W. Thus, P is a function of the subspace C(X), and not of the particular basis chosen for this subspace.

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