aem570-hw2-2010 - in the variables ( x 1 ,...,x n ). Show...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
AA/EE/ME 570: Manifolds and Geometry for Systems and Control Homework #2 Due: Thursday January 21, 11:30am 1. Show that every linear map from F n to F m has the form A ( x ) = ( n i =1 A 1 i x i ,, n i =1 A m i x i ) . 2. Let H n 2 denote the set of functions R n R that are polynomial functions, homogeneous of degree 2,
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: in the variables ( x 1 ,...,x n ). Show that H n 2 is an R-vector space. 3. Provide a basis for H n 2 , and find the dimension of H n 2 . 1...
View Full Document

This note was uploaded on 03/06/2010 for the course MEDICAL EN AEM570 taught by Professor Kristia.morgansen during the Spring '10 term at University of Western States.

Ask a homework question - tutors are online