Eigen vectors of matrix [[1, cos(theta)], [cos(theta), 1]] are
- A. vectors with components (1, 1) and (1, -1)
- B. vectors with components (1, 0) and (0, 1)
- C. vectors with components (cos(theta), sin(theta))
- D. none of the above
Answer: A. vectors with components (1, 1) and (1, -1)
Explanation: For matrix A = [[a, b], [b, a]], eigenvectors are [1, 1] and [1, -1]. Here a=1, b=cos(theta).