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  • Matrices

Siblings11
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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
  • Rank and mullity
  • Eigenvalues and eigenvectors
  • Determinants

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  • Definition of column rank of a matrix
  • Definition of rank of a matrix
  • Definition of nullity of a matrix
  • The rank of a matrix equals number of pivots in a reduced row echelon form.
  • The rank of a matrix equals the rank of the linear transformation it represents.
  • The row space and the column space of a matrix have the same dimension.
  • If A is a matrix
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