Consider the matrix M_x:

a. Calculate the normalized eigenvectors and eigenvalues of M_x.

b. Calculate the transformation S that diagonalizes M_x from the normalized eigenvectors, and show that it is unitary (i.e., that SS^† = 1).

c. Demonstrate explicitly that M^'_x = S^-1 M_xS is a diagonal matrix with the eigenvalues of M_x along its diagonal.

Transcribed Image Text:

M= 1 2 0 1 10 0 1 1 1 0, M= 1 2 0 1 10 0 1 1 1 0,