If matrices A and B are of order 1 × 3 and 3 × 1 respectively, then the order of A′B′ is :

Question

MCQ (Single)Transpose of a Matrix and Its PropertiesCBSE PYQ

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

MCQ (Single)Transpose of a Matrix and Its PropertiesDeterminant of a Square MatrixAdjoint of a Square Matrix

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

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

If a matrix A = [1 2 3], then the matrix AA' (where A' is the transpose of A) is :

If A = [5 x; y 0] and A = Aᵀ, where Aᵀ is the transpose of the matrix A, then