Question: 2. Let 9 -2 A = 2 6 (a) Determine the eigenvalues and eigenvectors of A (b) Show that A is positive definite (c)

2. Let 9 -2 A = 2 6 (a) Determine the eigenvalues and eigenvectors of A (b) Show that A is positive definite (c) Write the spectral decomposition of A (d) Find A-1 (e) Find the the eigenvalues and eigenvectors of A-1 (f) Calculate the determinant of A and A-1

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