Which of the following stament or staments are always correct? 1. det (B (A")B-) =det (A-1) II. det(I + AB) = 1+ det (A) det (B) III. If A is a square matrix, then A.adj(A) is a scaler matrix. IV. The addition of the two nonsingular square matrices is singular. (a) I and II (b) I and III (c) Il and III (d) II, III and IV (e) I, III and IV

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