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Entries of a Matrix

  • A zero entry of a matrix is an entry aik=0
  • A nonzero entry of a matrix is an entry aik0
  • The leading entry of a row of a matrix is the first nonzero element in that row when reading from left to right (this is a nonzero entry of a row with smallest column index).

Remark. Leading entries are used in solution techniques for 2B The General Linear-Systems Problem, 3 The Full-Rank Least-Squares Problem, and 4 The Standard Eigenvalue Problem.