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  • Triangular matrices

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  • Definition of an upper triangular matrix
  • Definition of a lower triangular matrix
  • The product of upper/lower triangular matrices is upper/lower triangular.
  • The inverse of an invertible upper/lower triangular matrix is upper/lower triangular.
  • Every complex square matrix is unitarily similar to an upper triangular matrix
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  1. Definition of an upper triangular matrix

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  • Definition of a lower triangular matrixClose match
  • Triangular matricesClose match
  • The product of upper/lower triangular matrices is upper/lower triangular.Close match
  • The inverse of an invertible upper/lower triangular matrix is upper/lower triangular.Close match
  • The determinant of a triangular matrix is the product of the entries on the diagonal.Close match
  • The determinant of a matrix can be expressed as a product of the diagonal entries in a non-scaled echelon form.Close match
  • The determinant of a block diagonal matrix is the product of the determinants of the blocks.Close match
  • Definition of the (main) diagonal of a matrixClose match
  • Definition of determinant of a matrix as a product of the diagonal entries in a non-scaled echelon form.Close match
  • Definition of matrixClose match
  • The eigenvalues of a triangular matrix are the entries on the main diagonal.Close match
  • Definition of symmetric matrixClose match
  • Every complex square matrix is unitarily similar to an upper triangular matrixClose match
  • Definition of diagonal matrixClose match
  • Definition of square matrixClose match
  • Definition of block diagonal matrixClose match
  • Definition of normal matrixClose match
  • Definition of unit matrixClose match
  • Definition of trace of a matrixClose match
  • Definition of identity matrixClose match

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