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  • Row operations

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  • Row equivalence is an equivalence relation
  • Definition of row operations on a matrix
  • Definition of pivot
  • Definition of pivot column
  • Definition of pivot position
  • Definition of row equivalent matrices
  • Definition of leading entry in a row of a matrix
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  1. Row equivalence is an equivalence relation

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  • Definition of row equivalent matricesClose match
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  • Every matrix is row-equivalent to only one matrix in reduced row echelon form.Close match
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  • Every matrix is row-equivalent to a matrix in reduced row echelon form.Close match
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  • Equivalence theorem for nonsingular matrices: the matrix A row-reduces to the identity matrix.Close match
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  • Vector space isomorphism is an equivalence relation.Close match
  • Row operations do not necessarily preserve the column space.Close match
  • Definition of row space of a matrixRelated
  • Equivalence theorems for injective transformationsRelated
  • Equivalence theorem for injective linear transformations: The columns of the matrix of T are linearly independent.Related
  • Definition of leading entry in a row of a matrixRelated
  • Definition of pivot positionRelated

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