MAKE A MEME View Large Image Singular value decomposition extended.gif shearing M First we see the unit disc in blue together with the two canonical unit vectors We then see the action of M on the unit disc it distorts the circle to an ellipse The SVD decomposes M into ...
View Original:Singular value decomposition extended.gif (400x330)
Download: Original    Medium    Small Thumb
Courtesy of:commons.wikimedia.org More Like This
Keywords: Singular value decomposition extended.gif shearing M First we see the unit disc in blue together with the two canonical unit vectors We then see the action of M on the unit disc it distorts the circle to an ellipse The SVD decomposes M into three simple transformations a rotation V<sup> </sup> a scaling along the coordinate axes and a second rotation U The SVD reveals the rotation of the ellipse with respect to the coordinate axes and the lengths <sub>1</sub> resp <sub>2</sub> of the semi-major axis resp semi-minor axis of the ellispe; they are just the singular values which occur as diagonal elements of the scaling own Kieff 2010-09-08 Short version without intermediate transforms Linear algebra Mathematical animations Animated diagrams Animated GIF
Terms of Use   Search of the Day