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Code is changed on 22.07.2025, Now it also works for Complex Number.
For wrong or incomplete solution, please submit the feedback form.
So, I will try my best to improve it soon.
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Solution
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Solution provided by AtoZmath.com
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Power Method for finding dominant eigenvalue calculator
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1. `[[8,-6,2],[-6,7,-4],[2,-4,3]]`
2. `[[6,-2,2],[-2,3,-1],[2,-1,3]]`
3. `[[3,2,4],[2,0,2],[4,2,3]]`
4. `[[1,1,1],[-1,-3,-3],[2,4,4]]`
5. `[[2,3],[4,10]]`
6. `[[5,1],[4,2]]`
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Example1. Find Power Method for finding dominant eigenvalue ... `[[2,3],[4,10]]`Solution:`1^(st)` Iteration and by scaling we obtain the approximation `2^(nd)` Iteration and by scaling we obtain the approximation `3^(rd)` Iteration and by scaling we obtain the approximation `4^(th)` Iteration and by scaling we obtain the approximation `5^(th)` Iteration and by scaling we obtain the approximation `:.` The dominant eigenvalue `lamda=11.2915~=11.29` and the dominant eigenvector is :
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