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NewLinearAlgebraPaclet

Guides

  • Matrices

Symbols

  • AntidiagonallySymmetrizableMatrixQ
  • AntidiagonalMatrix
  • AntidiagonalMatrixQ
  • Antidiagonal
  • AntidiagonalTranspose
  • DesymmetrizedMatrix
  • DeTriangularizableMatrixQ
  • DeTriangularizeMatrix
  • HessianMatrix
  • JacobianMatrix
  • LeftArrowMatrix
  • LowerArrowMatrix
  • LowerRightTriangularize
  • LowerRightTriangularMatrixQ
  • MatrixSymmetrizability
  • PyramidMatrix
  • ReflectedDiagonalMatrix
  • RightArrowMatrix
  • TopArrowMatrix
  • UlamMatrix
  • UpperLeftTriangularize
  • UpperLeftTriangularMatrixQ
PeterBurbery`NewLinearAlgebraPaclet`
Antidiagonal
​
Antidiagonal
[m]
gives the list of elements on the leading antidiagonal of the matrix
m
.
​
​
Antidiagonal
[m,k]
gives the elements on the
k
th antidiagonal of
m
.
​
Details and Options

Examples  
(6)
Basic Examples  
(3)
Give the antidiagonal elements of a matrix:
In[1]:=
Antidiagonal
[{{a,b,c},{d,e,f},{g,h,i}}]
Out[1]=
{c,e,g}
​
Give antidiagonals one element above and below the leading diagonal:
In[1]:=
Antidiagonal
[{{a,b,c},{d,e,f},{g,h,i}},1]
Out[1]=
{b,d}
In[2]:=
Antidiagonal
[{{a,b,c},{d,e,f},{g,h,i}},-1]
Out[2]=
{f,h}
​
Give an antidiagonal of a nonsquare matrix:
In[1]:=
Antidiagonal
[{{1,2,3,4},{5,6,7,8},{9,10,11,12}}]
Out[1]=
{4,7,10}
Properties & Relations  
(1)

Possible Issues  
(1)

Neat Examples  
(1)

SeeAlso
Diagonal
 
▪
Band
 
▪
DiagonalMatrix
 
▪
Tr
RelatedGuides
▪
Matrices
RelatedLinks
Antidiagonal
▪
Wikipedia—Main Diagonal
​
""

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