Accession Number : AD0771425

Title :   The Image of an Ellipsoid Under a Dimension-Reducing Linear Transformation.

Descriptive Note : Technical pub.,

Corporate Author : PACIFIC MISSILE RANGE POINT MUGU CALIF

Personal Author(s) : Wilson,Elizabeth

Report Date : MAY 1973

Pagination or Media Count : 39

Abstract : The report consists of a proof that a six-dimensional ellipsoid is mapped onto a two-dimensional ellipse by any linear transformation with the appropriate domain and range spaces. The equation of the resulting ellipse is exhibited and the method of determining the equation can be extended to any other dimensions of domain and range spaces desired. If the ellipsoid in the domain is a probability ellipsoid, the probability associated with the image ellipsoid is also discussed. (Author)

Descriptors :   *Matrices(Mathematics), *Transformations(Mathematics), *Ellipsoids, Probability density functions, Theorems

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE