Let A be a kxk matrix and let B be an (n – k) x (n – k) matrix. Let 8). F [: c= (8 8) where k and In-k are the kxk and (n – k) x (n – k) identity matrices. (a) Show that det(E) = det(B). (b) Show that det(F) = det(A). (c) Show that det(C) = det(A) det(B).

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