Which of the following is/are correct? P (1) If \( A \) and \( B \)...
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Which of the following is/are correct?
P
(1) If \( A \) and \( B \) are two square matrices of order 3
W and \( A \) is a non-singular matrix such that \( A B= \) \( O \), then \( B \) must be a null matrix.
(2) It \( A, B, C \) are three square matrices of order 2 and \( \operatorname{det}(A)=2, \operatorname{det}(B)=3, \operatorname{det}(C)=4 \), then the value of \( \operatorname{det}(3 A B C) \) is 216
(3) It \( A \) is a square matrix of order 3 and \( \operatorname{det}(A)= \) \( \frac{1}{2} \), then \( \operatorname{det}\left(\operatorname{adj} A^{-1}\right) \) is 8
(4) Every skew symmetric matrix is singular
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