SamplePublisher`GrassmannCalculus`
ComposeSymbolicFactorMatrix3 |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
In the following multi-vector of grade 2 in 4-space the first GradeBasis term, ⋀, is missing, Therefore the matrix is pivoted on the ⋀ basis vectors.
e
1
e
2
e
1
e
3
In[2]:=
 | ★ℬ |
4
e
1
e
3
e
1
e
4
e
2
e
3
e
2
e
4
e
3
e
4
| ComposeSymbolicFactorMatrix3 |
e
1
e
3
Out[2]=
-12⋀-10⋀+2⋀+8⋀+11⋀
e
1
e
3
e
1
e
4
e
2
e
3
e
2
e
4
e
3
e
4
Out[2]//MatrixForm=
1 | c 1,2 | 0 | c 1,4 |
0 | c 2,2 | 1 | c 2,4 |
A different symbol can be used and also a different pivot set, as long as it appears in the multi-vector.
In[3]:=
| ★ℬ |
4
| ComposeSymbolicFactorMatrix3 |
e
3
e
4
Out[3]//MatrixForm=
h 1,1 | h 1,2 | 1 | 0 |
h 2,1 | h 2,2 | 0 | 1 |
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