One of the eigenvalues of the matrix (²-a) C is 2(c + 1), and a corresponding eigenvector is O-1-2c 02 (2 c+1) O(+1) O-2 (2+ c) (-2). What is the value of a?

[EX5 Q1 Diagonalisation] could u please answer the circled question step by step on image1? And the solution is on the image2, thx :)

(a) Find the eigenvalues and eigenvectors of the matrix A. Call them A1 and A2 and the corresponding eigenvectors v(1) and v(2). (b) Show that l2 = 1; and v2) = v(1)*, where the * indicates complex conjugation. %3D

Is d=2 eigen value 3. an of 3.

One of the eigenvalues of the matrix 1 (²2 C a is 2(c+1), and a corresponding eigenvector is O-1-2c 02 (2c+1) (c + 1) 3 0-2 (2+ c) 0 (-²). What is the value of a?