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 :

Question

MCQ (Single)Order of a MatrixMatrix Multiplication and Its ConditionsCBSE PYQ

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

If A and B are two non-zero square matrices of same order such that (A + B)² = A² + B², then :

Properties of Matrix Multiplication

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

If F(x) = [cos x –sin x 0; sin x cos x 0; 0 0 1] and [F(x)]² = F(kx), then the value of k is :

Given that [1 x][4 0; -2 0] = 0, the value of x is:

If [x 2 0][5; −1; x] = [3 1][−2; x], then value of x is :