Difference between revisions of "Manuals/calci/ANTIDIAGONAL"

Revision as of 09:49, 17 April 2015

MATRIX("ANTI-DIAGONAL",order)

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 ( $\nearrow$ ), 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).

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 ==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 <math>\nearrow</math>, known as the anti-diagonal.
+*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 (<math>\nearrow</math>), 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: