Consider a 3 × 3 real symmetric matrix A such that the two of its Eigen values are a ≠ 0 and b ≠ 0 with respective Eigen vectors \(\left[ {\begin{array}{*{20}{c}}{{x_1}}\\{{x_2}}\\{{x_3}}\end{array}} \right],\;\left[ {\begin{array}{*{20}{c}}{{y_1}}\\{{y_2}}\\{{y_3}}\end{array}} \right]\). If a ≠ b, then x1 y1 + x2 y2 + x3 y3 equals

Consider a 3 × 3 real symmetric matrix A such that the two of its Eig

1.	Consider a 3 × 3 real symmetric matrix A such that the two of its Eigen values are a ≠ 0 and b ≠ 0 with respective Eigen vectors \(\left[ {\begin{array}{{20}{c}}{{x_1}}\\{{x_2}}\\{{x_3}}\end{array}} \right],\;\left[ {\begin{array}{{20}{c}}{{y_1}}\\{{y_2}}\\{{y_3}}\end{array}} \right]\). If a ≠ b, then x1 y1 + x2 y2 + x3 y3 equals
A.	a
B.	b
C.	ab
D.	0
Answer» E.