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Homework Help
Calculus and Beyond Homework Help
Eigenvalues and Eigenvectors: Finding the Roots of a Matrix
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[QUOTE="kev.thomson96, post: 5472567, member: 515235"] [h2]Homework Statement [/h2] we have this matrix 6 - 1 0 -1 -1 -1 0 -1 1 We need to find it's eigenvalues and eigenvectors [h2]Homework Equations[/h2] [h2]The Attempt at a Solution[/h2][/B] I wrote the characteristic equation - det(A- λxunit matrix) to find the roots and got (-λ^3)+8(λ^2)+λ-6 instead of -λ(^3)+6(λ^2)+3λ-13, which restricts me from getting the eigenvalues and vectors in the end. I don't think I'm expanding the determinant correctly, even though I know the -1 on r1, c2 turns into a +. Do I have to apply cofactors to every row, or just to the coefficients of the 2x2 matrix determinants (6 -(-1) and 0) These are the supposed [URL='http://imgur.com/XVcmQau']answers[/URL] [/QUOTE]
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Homework Help
Calculus and Beyond Homework Help
Eigenvalues and Eigenvectors: Finding the Roots of a Matrix
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