Question: (a) Without using a computer, find the eigenvalues and normalized eigenvectors of (b) Is A real and symmetric? Is A Hermitian? (c) Is the eigenvector

(a) Without using a computer, find the eigenvalues and normalized eigenvectors of

(b) Is A real and symmetric? Is A Hermitian?
(c) Is the eigenvector matrix C orthogonal? Is the eigenvector matrix C unitary?
(d) Write down C-1 without doing any calculations.
(e) Verify that C-1AC equals the diagonal matrix of eigenvalues.

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