Let A = [aij] be a 2 × 2 matrix whose elements are given by aij = (i + 2j)²/3. Then A' is given by :

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Definition and Notation of Matrix, Transpose of a Matrix and Its Properties | PadhAiPro

Question

MCQ (Single)Definition and Notation of MatrixTranspose of a Matrix and Its Properties

If a matrix has 36 elements, the number of possible orders it can have, is :

If A = [aᵢⱼ] be a 3 × 3 matrix, where aᵢⱼ = i – 3j, then which of the following is false ?

Order of a Matrix

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 :

Find the matrix A², where A = [aᵢⱼ] is a 2 × 2 matrix whose elements are given by aᵢⱼ = maximum (i, j) − minimum (i, j) :

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