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Assertion (A) : For any symmetric matrix A, B′AB is a skew-symmetric matrix. Reason (R) : A square matrix P is skew-symmetric if P′ = – P.
If A and B are two skew symmetric matrices, then (AB + BA) is :
If A = [a c −1; b 0 5; 1 −5 0] is a skew-symmetric matrix, then the value of 2a − (b + c) is :
If A is a square matrix of order 3 such that the value of |adj·A| = 8, then the value of |Aᵀ| is :
If A is a square matrix of order 3 such that |adj·A| = 8, then the value of |Aᵀ| is :
If |A| = 2, where A is a 2 × 2 matrix, then |4A⁻¹| equals :
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