“…Let α ∈ A be given by α = a 0 + a 1 i + a 2 j + a 3 ij, where a 0 , a 1 , a 2 , a 3 ∈ K. The conjugate of α, denoted byᾱ, is defined byᾱ = a 0 − a 1 i − a 2 j − a 3 ij. Thus, the reduced norm of α, is defined as N rd(α) = α.ᾱ = a 2 0 − aa 2 1 − ba 2 2 + aba 2 3 , and the reduced trace of α as T rd(α) = α+ᾱ = 2a 0 . Let A = (a, b) K be an algebra and M 0 , M 1 , M 2 and M 3 be linearly independent matrices in M 2 (K( √ a)), given by…”