GATE | GATE-CS-2014-(Set-1) | Question 15

The value of the dot product of the eigenvectors corresponding to any pair of different eigenvalues of a 4-by-4 symmetric positive definite matrix is _____________________.
(A) 0
(B) 1
(C) -1
(D) 2

Answer: (A)

Explanation: The eigen vectors corresponding to different eigen values of a real symmetric matrix are orthogonal to each other. And dot product of orthogonal vectors is 0.

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