If A is a square matrix of order 2 and |A| = -2, then value of |5A'| is :

Question

MCQ (Single)Transpose of a Matrix and Its PropertiesDeterminant of a Matrix of Order TwoCBSE PYQ

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|x+1 x–1; x²+x+1 x²–x+1| is equal to :

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.

Symmetric Matrix

Skew-Symmetric Matrix

If A is a square matrix of order 3 such that the value of |adj·A| = 8, then the value of |Aᵀ| is :

Let f(x) = |x² sin x; p -1|, where p is a constant. The value of p for which f'(0) = 1 is :

If |A| = |kA|, where A is a square matrix of order 2, then sum of all possible values of k is

For what value of x ∈ [0, π/2], is A + A′ = √3 I, where A = [cos x sin x; −sin x cos x] ?