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1. Let A= [² 3 [ 3 - 2 -2 1.1. Find eigenvalues: l,>l2 1.2. Find orthonormal basis of eigenvectors {u, uz3 and write A in the form A A=UDUT U=[41, 42], D=L"] Al 1.3. Based on W for ang function fel find 0 (0. Uz 2 (2) f(A) in terms of f(l) and fchz). 2f 1.4. Based on 12) find , , V 1.5. Solve initial rolne problem value dx X X(0) = 4.- dt lu A, et ces (ETA) sin(EJA) , 2 2 , o Ax = A x 2