How to find eigenvectors of a 3x3 matrix

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Eigenvalues and Eigenvectors

So lambda is the eigenvalue of A, if and only if, each of these steps are true. And this is true if and only if-- for some at non-zero vector, if and only if, the determinant of lambda times the identity matrix minus A

Eigenvalues and Eigenvectors of a 3 by 3 matrix

Vectors that are associated with that eigenvalue are called eigenvectors. [2] We can set the equation to zero, and obtain the homogeneous equation. Below, is the identity

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Determining the Eigenvectors of a Matrix

To find the eigenvectors of A, substitute each eigenvalue (i.e., the value of λ) in equation (1) (A - λI) v = O and solve for v using the method of your choice. (This would result in a system of

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