Consider a 3 × 3 real symmetric matrix S such that two of its eigenvalues are a ≠ 0, b ≠ 0 with respective eigenvectors if a ≠ b then x1y1 + x2y2 + x3y3 equals
a
b
ab
0
Correct Option: D
We know that the Eigen vectors corresponding to distinct Eigen values of real symmetric matrix are orthogonal.
