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  • Determinants

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  • Particular types of matrices
  • Definition of trace of a matrix
  • Determinants axiomatically
  • The determinant of a matrix measures the area/volume of the parallelogram/parallelipiped determined by its columns.
  • The determinant of the matrix of a linear transformation is the factor by which the area/volume changes.
  • Definition of adjugate/classical adjoint of a matrix
  • Determinants and operations on matrices
  • Cofactors
  • Ill-conditioning is measured by relative distance to singularity
  • Condition number measures relative sensitivity
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  1. Definition of trace of a matrix

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  • Definition of the (main) diagonal of a matrixClose match
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  • The determinant of a triangular matrix is the product of the entries on the diagonal.Close match
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  • Definition of square matrixClose match
  • Definition of symmetric matrixClose match
  • Definition of an upper triangular matrixClose match
  • Definition of determinant of a matrix as a product of the diagonal entries in a non-scaled echelon form.Close match
  • The determinant of a matrix measures the area/volume of the parallelogram/parallelipiped determined by its columns.Close match
  • DeterminantsClose match
  • Definition of diagonal matrixClose match
  • Definition of matrixClose match
  • Triangular matricesClose match
  • Definition of normal matrixRelated
  • Definition of identity matrixRelated
  • The determinant of the matrix of a linear transformation is the factor by which the area/volume changes.Related
  • Symmetric matricesRelated
  • Definition of block diagonal matrixRelated
  • Matrix diagonalizationRelated
  • Definition of adjugate/classical adjoint of a matrixRelated

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