Let be a square matrix (over any field ). An entry in is an anti-diagonal entry if it is on the line going from the lower left corner of to the upper right corner. If all entries in are zero except on the anti-diagonal, then is an anti-diagonal matrix.
If , let
Properties of anti-diagonal matrices
If and are anti-diagonal and diagonal matrices, respectively, then are anti-diagonal.
The product of two anti-diagonal matrices is an diagonal matrix.
|Date of creation||2013-03-22 15:12:20|
|Last modified on||2013-03-22 15:12:20|
|Last modified by||matte (1858)|