Manuals/calci/ANTIDIAGONAL

MATRIX("ANTI-DIAGONAL",order)

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle order } is the order of the Anti diagonal matrix.

Description

This function gives the matrix satisfying the anti diagonal properties.
An anti-diagonal matrix is a matrix where all the entries are zero except those on the diagonal going from the lower left corner to the upper right corner (Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \nearrow } ), known as the anti-diagonal.
So here we are getting all entries are 0 except from the opposite of main diagonal as 1.
The properties of anti diagonal matrix are:
1.The product of two anti-diagonal matrices is a diagonal matrix.
2. If A and D are n×n anti-diagonal and diagonal matrices, respectively, then AD,DA are anti-diagonal.
3.All anti-diagonal matrices are also persymmetric.
Here MATRIX("anti-diagonal") displays the antidiagonal matrix of order 3.
To display the different order of matrices then the syntax is MATRIX("anti-diagonal",5).