Manuals/calci/ANTIDIAGONAL

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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

See Also

References