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  • Eigenvalues and operations on matrices

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  • The eigenvalues of a scalar multiple of a matrix are the scalar multiples of the eigenvalues.
  • The eigenvalues of a power of a matrix are the power the eigenvalues.
  • The eigenvalues of a polynomial of a matrix are the polynomial of the eigenvalues.
  • The eigenvalues of the inverse of a nonsingular matrix are the reciprocals of the eigenvalues.
  • A matrix and its transpose have the same eigenvalues/characteristic polynomial.
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  1. Personal root
  2. …
    • Container for Linear Algebra
    • Linear algebra
    • Vector spaces
    • Coordinate vector spaces
    • Linear transformations
    • Eigenvalues and eigenvectors
  3. Eigenvalues and operations on matrices

The eigenvalues of a scalar multiple of a matrix are the scalar multiples of the eigenvalues.

Created almost 9 years ago

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  • Eigenvalues and operations on matrices
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