SamplePublisher`GrassmannCalculus`
RandomSpecialLinearMatrix  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
In[2]:=
 | RandomSpecialLinearMatrix |
Out[2]=
-,-,1,{7,6,-30},{-46,-39,206}
1
2
1
2
Out[2]=
1
In[3]:=
mat=
[3,RandomElementSpecification(RandomReal[{-20,20}]&)]//MatrixFormDet[mat]
 | RandomSpecialLinearMatrix |
Out[3]//MatrixForm=
-303.134 | 274.492 | -1408.48 |
2. | -1.86233 | 8.40221 |
39.7655 | -36.0283 | 184.483 |
Out[3]=
1.
Exterior products are invariant under special linear transformations of their factors.
In[4]:=
| SetBookVectorSpace |
| RandomSpecialLinearMatrix |
| ★ |
Out[4]=
p⋀q⋀r
Out[4]//MatrixForm=
-3 | - 7 2 | 1 4 |
-4 | -16 | 1 |
2 | -34 | 2 |
Out[4]=
p-3p-+,q-4p-16q+r,r2p-34q+2r
7q
2
r
4
Out[4]=
-3p-+⋀(-4p-16q+r)⋀(2p-34q+2r)
7q
2
r
4
Out[4]=
p⋀q⋀r
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""