The Projection of an hyperspace (1)

Linear Algebra and the C Language · Wikibooks

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    Projection of the space onto a hyperplan: 

    The matrix A projects the space in  the direction of the  eigenvector V6  on a hyperplan determined by the eigenvector V1,V2,V3,V4 and V5 if 

* The eigenvector V1 has its eigenvalue equal to  one and  
* The eigenvector V2 has its eigenvalue equal to  one and    
* The eigenvector V3 has its eigenvalue equal to  one and    
* The eigenvector V4 has its eigenvalue equal to  one and    
* The eigenvector V5 has its eigenvalue equal to  one and  
* The eigenvector V6 has its eigenvalue equal to zero and  

* If The vectors V1,V2,V3,V4,V5 and V6 are linearly independent

    The application