Question

Assertion (A) : For matrix A = [1 cos θ 1; – cos θ 1 cos θ; – 1 – cos θ 1], where θ ∈ [0, 2π], |A| ∈ [2, 4]. Reason (R) : cos θ ∈ [– 1, 1], ∀ θ ∈ [0, 2π].

Solve the following system of equations, using matrices : 2/x + 3/y + 10/z = 4, 4/x – 6/y + 5/z = 1, 6/x + 9/y – 20/z = 2 where x, y, z ≠ 0