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If [x+y 2; 5 xy] = [6 2; 5 8], then the value of (24/x + 24/y) is :
If A and B are two non-zero square matrices of same order such that (A + B)² = A² + B², then :
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 :
Find the matrix A², where A = [aᵢⱼ] is a 2 × 2 matrix whose elements are given by aᵢⱼ = maximum (i, j) − minimum (i, j) :
Find the product of the matrices [1 2 −3; 2 3 2; 3 −3 −4][−6 17 13; 14 5 −8; −15 9 −1] and hence solve the system of linear equations : x + 2y − 3z = −4 2x + 3y + 2z = 2 3x − 3y − 4z = 11
If A = [x 0; 1 1] and B = [4 0; -1 1], then value of x for which A² = B is :
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