h2 - Homework Set 2 for MAS 4105 Due Friday, January 27 1....

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Homework Set 2 for MAS 4105 Due Friday, January 27 1. Use Gaussian elimination to find all solutions to the following system of equations. − x1 − x2 − x3 + x4 = 2 x1 + x2 + x3 + x4 = 0 x1 − 2x 3 =2 2. In each case determine whether y ∈ Span(S ). (a) V = R3 , S = {(1, 2, 3), (2, 3, 4)}, y = (1, 1, 0) (b) V = P2 (F ), S = {1 + x, −1 + x2 }, (c) V = M2×2 (F ), S= y= 01 20 , y = 2 + x − x2 −1 −1 11 , 0 −1 00 , 12 3 −1 The following problems are strongly recommended, but should not be turned in: 3.4: 2acegi 1.5: 1, 2abcdef, 4, 5, 7, 9, 11, 17 1.6: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13 ...
View Full Document

This document was uploaded on 02/14/2012.

Ask a homework question - tutors are online