Question: (a) Find the eigenvalues 1 , 2 and the normalized eigenvectors X 1 , X 2 of the matrix Check that (b)

(a) Find the eigenvalues λ1, λ2 and the normalized eigenvectors X1, X2 of the matrix

A= || [2 1 2

Check that

A = X_X + X,,

(b) Use MATLAB to repeat a similar calculation for the three eigenvalues and normalized eigenvectors of

B = [-1 1 0 10 1 0 1 -2

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