411 REFERENCE · Wikibooks
Linear Algebra and the C Language/a0p2
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
__NOTOC__
Projection of the plane onto a line: (2)
The matrix A projects the plane in the direction of the eigenvector V2 on a line determined by the eigenvector V1 if :
* The eigenvector V1 has its eigenvalue equal to one and
* The eigenvector V2 has its eigenvalue equal to zero and
* If The vectors V1 and V2 are linearly independent
In these examples, you choose the vector of the line and the vector for the projection. You compute the matrix A that projects the plane in the direction of the eigenvector V2 onto a line determined by the eigenvector V1. Next, you can calculate the projection of a point P onto the line.
The application
You can choose the vector of the line and the vector for the projection.
c00a.c
You create the matrix A.
c00b.c
You verify the properties of the matrix A.
c00c.c
you can calculate the projection of a point P onto the line.
c00d.c