Construct a 2 x 2 matrix, A = [aij], whose elements are given by:

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CASE_STUDIESOrder of a Matrix3 sub-questions

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

The product of matrix P and Q is equal to a diagonal matrix. If the order of matrix Q is 3 × 2, then order of matrix P is :

If X, Y and XY are matrices of order 2 × 3, m × n and 2 × 5 respectively, then number of elements in matrix Y is :

If A is a 3 × 4 matrix and B is a matrix such that A′B and AB′ are both defined, then the order of the matrix B is :

If [4, 1, 3]ᵀ A = [[-4, 8, 4], [-1, 2, 1], [-3, 6, 3]], then order of A must be :