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