Question

Let α be a root of the equation x² + x + 1 = 0 and the matrix A = 1/√3[(1, 1, 1), (1, α, α²), (1, α², α⁴)], then the matrix A³¹ is equal to:

(1) A³

(2) A

(3) A²

(4) I₃

Answer 1

Answer is (1) A³

x² + x + 1 = 0

Answer 2

Answer is (1) A³