anti-diagonal matrix

Let A be a square matrixMathworldPlanetmath (over any field 𝔽). An entry in A is an anti-diagonal entry if it is on the line going from the lower left corner of A to the upper right corner. If all entries in A are zero except on the anti-diagonal, then A is an anti-diagonal matrix.

If a1,,an𝔽, let


Properties of anti-diagonal matrices

  1. 1.

    If A and D are n×n anti-diagonal and diagonal matricesMathworldPlanetmath, respectively, then AD,DA are anti-diagonal.

  2. 2.

    The product of two anti-diagonal matrices is an diagonal matrix.

Title anti-diagonal matrix
Canonical name AntidiagonalMatrix
Date of creation 2013-03-22 15:12:20
Last modified on 2013-03-22 15:12:20
Owner matte (1858)
Last modified by matte (1858)
Numerical id 8
Author matte (1858)
Entry type Definition
Classification msc 15-00