Orthogonally diagonalize the matrix
Hints: You will get real eigenvalues in this case. Also, the trigonometric identities sin 2x = 2
sin x cos x, sin2 x = (1-cos 2x)/2, cos2 x = (1 + cos 2x)/2 (applied to x = α/2) will help to
simplify expressions for eigenvectors.
2.11. Orthogonally diagonalize the matrixAcos asin asin a-cosaHints: You will get real eigenvalues in this case. Also, the trigonometric identitiessin 2x = 2sin scos s, sin? > = (1 – cos 2r)/2, cos? = = (1 + cos 2x)/2 (applied tox =a/2) will help to simplify expressions for eigenvectors.