1.

The normalized modal matrix for diagonalizing \(M = \left( {\begin{array}{*{20}{c}}5&3\\3&5\end{array}} \right)\)

A. \(\left( {\begin{array}{*{20}{c}}1&{ - 1}\\1&{ - \frac{1}{2}}\end{array}} \right)\)
B. \(\left( {\begin{array}{*{20}{c}}{\frac{1}{{\sqrt 2 }}}&{\frac{1}{{\sqrt 2 }}}\\{\frac{1}{{\sqrt 2 }}}&{ - \frac{1}{{\sqrt 2 }}}\end{array}} \right)\)
C. \(\left( {\begin{array}{*{20}{c}}2&1\\1&1\end{array}} \right)\)
D. \(\left( {\begin{array}{*{20}{c}}{\frac{1}{{\sqrt 3 }}}&{\frac{2}{{\sqrt 3 }}}\\{\frac{1}{{\sqrt 3 }}}&{\frac{1}{{\sqrt 3 }}}\end{array}} \right)\)
Answer» C. \(\left( {\begin{array}{*{20}{c}}2&1\\1&1\end{array}} \right)\)


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