Q47
Consider a 3 × 3 real symmetric matrix S such that two of its eigen values are a ≠ 0, b ≠ 0 with respective eigen vectors \[ [ array*20c x_1 \\ x_2 \\ x_3 array ], [ array*20c y_1 \\ y_2 \\ y_3 array ].\] If a ≠ b then x1y1 + x2y2 + x3y3 equals
Consider a 3 × 3 real symmetric matrix S such that two of its eigen values are a ≠ 0, b ≠ 0 with respective eigen vectors \left[ {\begin{array}{*{20}{c}}
{{{\text{x}}_1}} \\
{{{\text{x}}_2}} \\
{{{\text{x}}_3}}
\end{array}} \right],\left[ {\begin{array}{*{20}{c}}
{{{\text{y}}_1}} \\
{{{\text{y}}_2}} \\
{{{\text{y}}_3}}
\end{array}} \right]. If a ≠ b then x1y1 + x2y2 + x3y3 equals
A.
a
B.
b
C.
ab
D.
0
AnswerAnswer: Option D
Solution
Answer: Option D
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