## 2 2 2 1 ] . Compute the eigenvalues and eigenspaces of A. We

First step: find the eigenvalues, via the characteristic polynomial det ( A − λ I) = | 6 − λ 4 − 3 − 1 − λ | = 0 λ 2 − 5 λ + 6 = 0. One of the eigenvalues is λ 1 = 2. You find the other one. ## Eigenspaces of a Matrix Calculator

(Definition) For a matrix M M having for eigenvalues λi λ i, an eigenspace E E associated with an eigenvalue λi λ i is the set (the basis) of eigenvectors →vi v i → which have the same

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## Eigenspace

So the eigenspace is simply the null space of the matrix ???\lambda I_n-A???.???E_\lambda=N(\lambda I_n-A)??? To find the matrix ???\lambda I_n-A???, we can

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