Transcription of HOMEWORK 2 { solutions - UH
{{id}} {{{paragraph}}}
Example: marketing
HOMEWORK 2 { solutions - UH
math 4377/6308 advanced linear Algebra IDr. Vaughn Climenhaga, PGH 651 AFall 2013 HOMEWORK 2 solutionsDue4pm Wednesday, September 4. You will be graded not onlyon the correctness of your answers but also on the clarity and com-pleteness of your communication. Write in complete whether or not each of the following is a subspace your answer.(a)X1={(x,y) R2|x+y= 0}Solution.[4 points]Yes,X1is a subspace. Given any (x,y),(x ,y ) X1andc R, we must check that (cx+x ,cy+y ) X1. Indeed,(cx+x ) + (cy+y ) =c(x+y) + (x +y ) =c 0 + 0 = 0.(b)X2={(x,y) R2|x 1 = 0}Solution.[4 points]No,X2is not a subspace. It does notcontain (0,0). (It also fails to be closed under addition or scalarmultiplication.)(c)X3={(x,y) R2|xy= 0}Solution.[4 points]No,X3is not a subspace. It is not closedunder addition: (1,0) X3and (0,1) X3, but their sum (1,1)is not inX3.(d)X4={(1,0),(0,1)}Solution.
Math 4377/6308 Advanced Linear Algebra I Dr. Vaughn Climenhaga, PGH 651A Fall 2013 HOMEWORK 2 { solutions Due 4pm Wednesday, September 4. You will be graded not only on the correctness of your answers but also on the clarity and com-pleteness of your communication. Write in complete sentences. 1.
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: