Question: Consider the matrix M x : a. Calculate the normalized eigenvectors and eigenvalues of M x. b. Calculate the transformation S that diagonalizes M x

Consider the matrix Mx:

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

a. Calculate the normalized eigenvectors and eigenvalues of Mx.

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

c. Demonstrate explicitly that M'x = S-1 MxS is a diagonal matrix with the eigenvalues of Mx along its diagonal.

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

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