Chapter 10 Eigenvalues and Singular Values
Consequently, the three eigenvalues are λ1 = 1, λ2 = 2, and λ3 = 3, and Λ = 1 0 0 0 2 0 0 0 3 . The matrix of eigenvectors can be normalized so that its elements are all integers: X = 1 −4 7 −3 9 −49 0 1 9 . It turns out that the inverse of X also has integer entries: X−1 = 130 43 133 27 9 …
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