SamplePublisher`GrassmannCalculus`
RandomGrassmannMatrix |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
Some examples of generating random matrices.
In[2]:=
RandomGrassmannMatrix |
Out[2]//MatrixForm=
-25 | -4 | -7 | 0 | 2 |
-49 | 8 | 101 | -9 | 12 |
19 | -2 | -31 | 3 | -4 |
Out[2]=
3
In[3]:=
RandomGrassmannMatrix |
Out[3]//MatrixForm=
2 | 3 |
1 | 0 |
4 | 6 |
-8 | -9 |
Out[3]=
2
In[4]:=
step1=
[{3,3},3]//MatrixFormMatrixRank[step1]Inverse[step1]//MatrixForm
RandomGrassmannMatrix |
Out[4]//MatrixForm=
-1 | -12 | 3 |
3 | 21 | -3 |
1 | 3 | 0 |
Out[4]=
3
Out[4]//MatrixForm=
-1 | -1 | 3 |
1 3 | 1 3 | - 2 3 |
4 3 | 1 | - 5 3 |
In[5]:=
RandomGrassmannMatrix |
Out[5]//MatrixForm=
0 | 0 | 0 |
2 | 3 | -4 |
4 | 6 | -8 |
Out[5]//MatrixForm=
1
In[6]:=
RandomGrassmannMatrix |
RandomGrassmannMatrix::rank:The rank must not exceed the rows or columns.
Out[6]=
$Aborted
RandomGrassmannMatrix is the basis of generating random vectors, points and Grassmann elements.
In[7]:=
First@
[{1,4},1]
RandomGrassmannMatrix |
Out[7]=
{2,-6,0,3}
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""

