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  • Canonical forms of matrices

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  • Matrix diagonalization
  • Definition of Hessenberg form
  • Definition of Jordan form
  • Definition of rational form
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  1. Definition of Jordan form

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  • Every square matrix is similar to one in Jordan form.Close match
  • Definition of rational formClose match
  • Canonical forms of matricesClose match
  • Every nilpotent matrix is similar to a sum of nilpotent Jordan blocksClose match
  • Matrix diagonalizationClose match
  • Similarity of matrices is an equivalence relationClose match
  • Definition of square matrixClose match
  • Definition of block diagonal matrixClose match
  • Definition of Hessenberg formClose match
  • Every complex square matrix is unitarily similar to an upper triangular matrixClose match
  • Block matricesClose match
  • A matrix of rank k is equivalent to a matrix with 1 in the first k diagonal entries and 0 elsewhere.Related
  • Normal matricesRelated
  • Definition of normal matrixRelated
  • Symmetric matricesRelated
  • Definition of matrixRelated
  • Hermitian matricesRelated
  • Definition of diagonal matrixRelated
  • Definition of quadratic formRelated
  • Commuting diagonalizable and nilpotent decomposition over the complex numbersRelated

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