nLab elementary matrix

Contents

Idea

Am elementary matrix is a square matrix which is obtained from the identity matrix by performing one row operation, that is either

  1. interchanging two rows (in which case it is a permutation matrix),

  2. rescaling the row by multiplying it with a nonzero element,

  3. or adding a multiple of one row to some other row.

References

See also:

category: algebra

Last revised on May 21, 2024 at 13:11:11. See the history of this page for a list of all contributions to it.