Find The Eigenvalues And Eigenvectors Of 2  0...

Anonymous

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Find the eigenvalues and eigenvectors of 2 0 2 0 2 0 2 0 -1 I am very rusty, just one example will kick start memorythanks

 

Answer No.1

Anonymous

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Eigenvalues are {3, -2, 2}. The corresponding eigenvectors are{2, 0,1}, {-1, 0,2} and {0, 1,0}. The characteristic polynomial is -12 + 4*x + 3*x^2 - x^3. Set this equal to zero andsolve for the roots to get eigenvalues. Remember that theeigenvalues of a matrix m are the values λ for which one canfind nonzero vectors v such that m.v = λv, where m isyour starting matrix. The eigenvectors are the vectorsv.

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