SamplePublisher`GrassmannCalculus`
ZeroGrassmannEquationElement  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In[1]:=
<<GrassmannCalculus`
In[2]:=
 | SetCoordinateVectorSpace |
Compose a Grassmann linear equation in equation form.
In[3]:=
GEE=
[{{-26,16,-8},{4,-4,1},{-10,6,-3}},{a,b,c}]//
 | ComposeGrassmannLinearEquation |
 | ToGrassmannEquationForm |
Out[3]=
(-26x+16y-8z)+(4x-4y+z)+(-10x+6y-3z)a+b+c
e
x
e
y
e
z
e
x
e
y
e
z
Scale the equation on the variable.
e
x
x
In[4]:=
GEE2=
[GEE][{,x}]
| ScaleGrassmannLinearEquation |
e
x
Out[4]=
x-++(4x-4y+z)+(-10x+6y-3z)-+b+c
8y
13
4z
13
e
x
e
y
e
z
a
e
x
26
e
y
e
z
Eliminate from all but the equation in two steps.
x
e
x
In[5]:=
| ZeroGrassmannEquationElement |
e
y
e
x
| ZeroGrassmannEquationElement |
e
z
e
x
Out[5]=
x-++--+(-10x+6y-3z)-++b+c
8y
13
4z
13
e
x
20y
13
3z
13
e
y
e
z
a
e
x
26
2a
13
e
y
e
z
Out[5]=
x-++--+-+-++b+-+c
8y
13
4z
13
e
x
20y
13
3z
13
e
y
2y
13
z
13
e
z
a
e
x
26
2a
13
e
y
5a
13
e
z
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