# Manuals/calci/ANTIDIAGONAL

MATRIX("ANTI-DIAGONAL",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 (), 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).

## Examples

• MATRIX("ANTI-DIAGONAL")
 0 0 1 0 1 0 1 0 0
• MATRIX("anti-diagonal",4,200..204)
 0 0 0 200 0 0 201 0 0 202 0 0 203 0 0 0
• MATRIX("anti-diagonal",3,-32.05)
 0 0 -32.05 0 -32.05 0 -32.05 0 0