A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Absolutely stumped on this one (all matrices 4x1):
The system of equations Ax = c has solutions x = (4, 4, 3, 2) + p(2, 1, 3, 4) + q(2, 3, 3, 4). The solution set of the system Ax = 0 consists of all vectors x = ?
anonymous
 one year ago
Absolutely stumped on this one (all matrices 4x1): The system of equations Ax = c has solutions x = (4, 4, 3, 2) + p(2, 1, 3, 4) + q(2, 3, 3, 4). The solution set of the system Ax = 0 consists of all vectors x = ?

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 hi he or she ask me to help lol just playin

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm thinking that it could be x = p(2, 1, 3, 4) but I could be way wrong..

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1good thinking, remember that the complete solution for \(Ax=c\) is given by a particular solution and the complete nullspace : \[\large {X_{\text{complete}} ~~= ~~X_{\text{particular}} + X_{\text{null}}}\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1In the present problem \[\large X_{\text{complete}} = (4, 4, 3, 2) + \color{red}{p(2, 1, 3, 4) + q(2, 3, 3, 4)}\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1that entire red part constitutes the nullspace that is, the solutions to the system \(Ax=0\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 lol don't be blowing up my notification k

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh right, that makes sense! I think I might've forgotten about the Xcomplete = Xparticular + Xnull when my lecturer was explaining about it, thanks a lot, really appreciate the help!

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1np :) here is a little challenge : try finding the matrix \(A\) from the given solutions
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.