If we have the eigenvalues of a 6*6 matrix with values such as = [1 1 1 2 2 3], how to write different matrix based on the same eigenvalue matrix. I really need you all to answer this question. THANK YOU.
2025-01-13 07:39:28.1736753968
Matrix and eigenvalue matrix?
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It's very easy but it may panic if you are new to linear algebra.you can write diagonal matrix. you can evaluate characteristic polynomial then you can write corresponding companion matrix. you can make different combinations of minimal polynomials from characteristic polynomial then you can write corresponding matrices with the help of jordan canonical form. you can also use the fact that similar matrices has same eigenvalues.