
Accession Number : AD0771425
Title : The Image of an Ellipsoid Under a DimensionReducing 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 sixdimensional ellipsoid is mapped onto a twodimensional 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