The Projection of a plane (1)

Linear Algebra and the C Language · Wikibooks

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    From Wikibooks, under CC BY-SA 4.0, as the source states it. This page at Wikibooks.


    Projection of the plane onto a line: 

    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 have the matrix A that projects the plane in the direction of the  eigenvector V2  on a line  determined by the eigenvector V1. You must compute the eigenvalues and the eigenvectors to verify the properties of the matrix A.

    The application