# Manuals/calci/ANTIDIAGONALWITH

**ANTIDIAGONALWITH()**

- Parameter can be any Matrix.

## Description

- This function gives the matrix satisfying the anti diagonal properties also it is replacing the constant given number in the anti diagonal entries.
- 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.
- 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.

## Examples

- ANTIDIAGONALWITH([[1,2],[3,4]],34)

- ANTIDIAGONALWITH([[6,12,10,16],[13,14,15,17],[5,13,19,20],[3,24,33,43]],-22)

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## See Also

## References