MATRIX (TypeOfMatrix,DimensionsOfMatrix,SeedValuesToUse,IJFunction,PreParameter,IsItInternalCall)
- is the type of the matrix.
- is the order of the Anti diagonal matrix.
is the type of the matrix.
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.
- To display the different order of matrices then the syntax is MATRIX("anti-diagonal",5).
Examples
- MATRIX("ANTI-DIAGONAL") = 1
- MATRIX("ANTI-DIAGONAL",3)
| 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 |
See Also
References