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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 the rank of the linear transformation it represents.
  • The row space and the column space of a matrix have the same dimension.
  • The rank of a matrix equals number of pivots in a reduced row echelon form.
  • Rank–nullity theorem for an m-by-n matrix
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  1. Definition of nullity of a matrix

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  • The left null space of a matrix is a subspace of R^m (or C^m).Close match
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