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6. For the matrices A= 3 0 -4 -2 0 1 4 and B 0 10 -1 2 0 1 1 find the eigenvalues and

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6. For the matrices A= 3 0 -4 -2 0 1 4 and B 0 10 -1 2 0 1 1 find the eigenvalues and bases for the corresponding eigenspaces. Solve the homo- geneous linear systems 7' = A7 and ? = Bi. 7. Calculate the Wronskian for the functions e34 and te3t. Use the Wronskian to show that the set of functions {et, tet} is linearly independent

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