MHB Parametric equations and augmented coefficient matrices

boriskov
Messages
1
Reaction score
0
hi,

I'm currently really struggling with an assignment that I've been tasked with.

https://ss1002.files.wordpress.com/2015/01/assignment.pdf

View attachment 3965

View attachment 3966

It's mostly theoretical proof questions, which I find difficult. Actual questions I'm fine with.

I have done the first question without issue, as well as question 2a), but 2b) onwards I'm quite lost.

Q3 seems a mystery.

Any help with this would be great, I'd love to understand this.

Thanks
 

Attachments

  • linearalgebra2.jpg
    linearalgebra2.jpg
    30.2 KB · Views: 115
  • linearalgebra3.jpg
    linearalgebra3.jpg
    58 KB · Views: 102
Physics news on Phys.org
Hello and welcome to MHB, boriskov! :D

Upon reading the pdf file you have attached, it appears that these problems are part of a graded assignment. Our policy here is:

"not knowingly to help with questions in such assignments. If you present a question in such a way as to suggest that it falls in this category, a moderator will close the thread and explain why. The original poster can always PM the moderator to discuss the situation, but if the moderator is unconvinced, the thread will stay closed."

If your professor allows for you to seek outside help, then please send me a private message to explain his/her policy.

Also, when posting problems with multiple parts, it is best to post each problem in a separate thread. This way a thread does not potentially become convoluted and difficult to follow.

The title of a thread should be a brief and accurate description of what your question is about. The thread title should be at least one level more specific than the forum in which you post. Thus, I have retitled this thread.

I have also attached images of the relevant portions of the attached file, so that our helpers do not have to follow a link to a file.

These policies are in place to help make MHB organized and easier for our helpers to provide help.
 
I asked online questions about Proposition 2.1.1: The answer I got is the following: I have some questions about the answer I got. When the person answering says: ##1.## Is the map ##\mathfrak{q}\mapsto \mathfrak{q} A _\mathfrak{p}## from ##A\setminus \mathfrak{p}\to A_\mathfrak{p}##? But I don't understand what the author meant for the rest of the sentence in mathematical notation: ##2.## In the next statement where the author says: How is ##A\to...
The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
Back
Top