>
|
|
Initialize a 4-dimensional manifold M with coordinates [x, y, z, w].
>
|
|
Example 1.
Find the intersection of the three 3 dimensional subspaces spanned by A1, A2, A3.
>
|
|
| (1) |
>
|
|
| (2) |
>
|
|
| (3) |
>
|
|
Example 2.
Find the intersection of the subspaces of 2-forms spanned by B1 and B2. Check the result using the GetComponents command.
>
|
|
| (5) |
>
|
|
| (6) |
>
|
|
| (7) |
The command GetComponents returns the components of the 2-form in C with respect to the 2-forms in B1 and B2. This proves that the 2-form in C does indeed belong to the intersection of the spans of B1 and B2.
>
|
|
| (8) |
>
|
|