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Clarence
 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 = ?
Clarence
 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 = ?

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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

clarence
 one year ago
Best ResponseYou've already chosen the best response.1I'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

clarence
 one year ago
Best ResponseYou've already chosen the best response.1Oh 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
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