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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. Ill-conditioning is measured by relative distance to singularity

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