[Step-by-Step] Let A be as given in Exercise 2.6 Determine the eigenvalues and eigenvectors of A. Write the spectral decomposition of A. Find A^-1. Find the


Question: Let \(\mathbf{A}\) be as given in Exercise 2.6

  1. Determine the eigenvalues and eigenvectors of \(\mathbf{A}\).
  2. Write the spectral decomposition of \(\mathbf{A}\).
  3. Find \(\mathbf{A}^{-1}\).
  4. Find the eigenvatues and eigenvectors of \(\mathbf{A}^{-1}\).

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