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Linear Algebra and the C Language/a0dh
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In linear algebra, an eigenvector is a vector that has its direction unchanged (or reversed) by a given linear transformation ... Wikipedia: Eigenvectors
Some properties:
The sum of the eigenvalues of A is equal to the trace of A:
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The product of the eigenvalues of A is equal to the determinant of A:
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The eigenvalues of the inverse of A correspond to the inverses of the eigenvalues of A:
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The eigenvalues of sA correspond to the eigenvalues of A multiplied by s:
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The eigenvalues of A+sID correspond to the eigenvalues of A plus s:
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The eigenvalues of A**P correspond to the eigenvalues of A to the power of P:
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Similar matrices have the same eigenvalues.
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The eignvectors form an orthonormal basis:
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We know that: A V = λ V. If λ = 0 with A and V different from zero, verify if A V = 0.
c00a.c
c00b.c
We know that: A V = λ V. If λ = 0 with A and V different from zero, verify if A V = 0.
c00c.c
c00d.c