Question: Suppose that X = [ X A , X B ] is a full-column rank matrix. Show that P ( X ) = P (

Suppose thatX=[XA,XB] is a full-column rank matrix. Show that P(X)=P(XA)+P[M(XA)XB].

Pis a projection matrix andM is a residual maker. Please explain in detail. Thank you!

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