Let α be a root of the equation x2+x+1=0 and the matrixA=⎡⎢⎣111

1.	Let α be a root of the equation x2+x+1=0 and the matrixA=⎡⎢⎣1111αα21α2α4⎤⎥⎦ then the matrix A31 is equal to
Answer» Let $α$ be a root of the equation $x^{2} + x + 1 = 0$ and the matrix $A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 1 1 & α & α^{2} 1 & α^{2} & α^{4} \end{matrix} ⎤ ⎥ ⎦$ then the matrix $A^{31}$ is equal to

Let α be a root of the equation x2+x+1=0 and the matrixA=⎡⎢⎣1111αα21α2α4⎤⎥⎦ then the matrix A31 is equal to

Answer»

Let $α$ be a root of the equation $x^{2} + x + 1 = 0$ and the matrix

$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 1 1 & α & α^{2} 1 & α^{2} & α^{4} \end{matrix} ⎤ ⎥ ⎦$ then the matrix $A^{31}$ is equal to