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  • Matrices

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  • Basic terminology and notation
  • Operations on matrices
  • Particular types of matrices
  • Matrix equivalence
  • Canonical forms of matrices
  • Factorization of matrices
  • Similarity of matrices
  • Nonsingular matrices and equivalences
  • Eigenvalues and eigenvectors
  • Determinants
  • Choosing factorizations and understanding numerical error
  • Rank and nullity

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  • Definition of matrix
  • Notation for entry of matrix
  • Definition of size of a matrix
  • Definition of m by n matrix
  • Notation for the set of m by n matrices
  • Definition of square matrix
  • Definition of the (main) diagonal of a matrix
  • Definition of diagonal matrix
  • Definition of identity matrix
  • Definition of 0 matrix
  • Definition of equality of matrices
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  1. Basic terminology and notation

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