1.

In the symmetrical component expression of voltages, we have\(\left[ {\begin{array}{*{20}{c}}{{V_a}}\\{{V_b}}\\{{V_c}}\end{array}} \right] = \left[ A \right]\left[ {\begin{array}{*{20}{c}}{{V_{a1}}}\\{{V_{a2}}}\\{{V_{a0}}}\end{array}} \right]\)where matrix [A] is

A. \(\left[ {\begin{array}{*{20}{c}}1&\alpha &1\\{{\alpha ^2}}&\alpha &1\\\alpha &{{\alpha ^2}}&1\end{array}} \right]\)
B. \(\left[ {\begin{array}{*{20}{c}}1&\alpha &{{\alpha ^2}}\\1&{{\alpha ^2}}&\alpha \\1&\alpha &{{\alpha ^2}}\end{array}} \right]\)
C. \(\left[ {\begin{array}{*{20}{c}}1&1&1\\{{\alpha ^2}}&\alpha &1\\\alpha &{{\alpha ^2}}&1\end{array}} \right]\)
D. \(\left[ {\begin{array}{*{20}{c}}1&1&1\\\alpha &{{\alpha ^2}}&1\\{{\alpha ^2}}&\alpha &1\end{array}} \right]\)
Answer» D. \(\left[ {\begin{array}{*{20}{c}}1&1&1\\\alpha &{{\alpha ^2}}&1\\{{\alpha ^2}}&\alpha &1\end{array}} \right]\)


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