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Problem 3: Given a matrix A as follows [1 2 0 A = 8 4 41 18 08 a) Use the Gerschgorins Circle Theorem to determine a region
0 0
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Gerschgesins 3 2 A? J J 8 ( -8) e 8 1-41212 10-11 221st Iteration 1 2 0 0 0 Axo = 8 4 4 0 = 4 808 1 8 and by scaling we obtain the approximation 0 0 1 X1 = 0.5 8 1 2nd Iteration6th Iteration 1 2 0 0.2188 2.1798 Axs = 8 4 4 0.9805 10 9.6724 8 0 8 1 9.7503 and by scaling we obtain the approximation 2.17

so .

eigenvalue = 9.804

eigen vector = (0.226 , 0.999 , 1 )

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