If α and β are the roots of the equation 1 + x + x2 = 0, then the matrix product\(\left[ {\begin{array}{*{20}{c}} 1&\beta \\ \alpha &\alpha \end{array}} \right]\;\left[ {\begin{array}{*{20}{c}} \alpha &\beta \\ 1&\beta \end{array}} \right]\) is equal to

• A. \(\left[ {\begin{array}{*{20}{c}} 1&1\\ 1&2 \end{array}} \right]\)
• B. \(\left[ {\begin{array}{*{20}{c}} { - 1}&{ - 1}\\ { - 1}&2 \end{array}} \right]\)
• C. \(\left[ {\begin{array}{*{20}{c}} 1&{ - 1}\\ { - 1}&2 \end{array}} \right]\)
• D. \(\left[ {\begin{array}{*{20}{c}} { - 1}&{ - 1}\\ { - 1}&{ - 2} \end{array}} \right]\)