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",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