chrisplusian
  • chrisplusian
Linear algebra question..... Is a "general solution" to a system the same as a solution to the associated homogeneous system? (see attachment)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
chrisplusian
  • chrisplusian
1 Attachment
jango_IN_DTOWN
  • jango_IN_DTOWN
no
jango_IN_DTOWN
  • jango_IN_DTOWN
you need to make the coefficients of the rhs 0 and then solve

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

chrisplusian
  • chrisplusian
Did you see in the example we were given in a lecture hand out? Where I drew the line? That was the end of the explanation and it seemed like he was saying that was the solution to part two
chrisplusian
  • chrisplusian
What did you mean by the "rhs"? @jango_IN_DTOWN
anonymous
  • anonymous
right hand side
chrisplusian
  • chrisplusian
Ok but isn't that what an associated homogeneous system is? When you make the rhs =0?
anonymous
  • anonymous
you have to solve the augmented matrix, then you can find the general solution.
chrisplusian
  • chrisplusian
Ok If you could look at the example I posted could you tell me if the "part ii" is correct for the general solution?
chrisplusian
  • chrisplusian
@Lily2913 in the above example both "augmented" matrices are solved. There is one with a particular solution which says the system is inconsistent. Then they solve the associated homogeneous system for part ii. My problem is that in part ii they ask for a general solution. I am trying to make a conclusion from the example. Is the associated homogeneous solution the same as a "general solution"? Or is it only in this case because the particular solution gave an inconsistent system? If the first part would not have resulted in an inconsistent solution would the general solution have been different?
chrisplusian
  • chrisplusian
And @Lily2913 this came from my Professors, lecture handout. I am not sure where you were asking if I got it from, but Unless it is University of North Florida then no I didn't get it from there
jango_IN_DTOWN
  • jango_IN_DTOWN
https://math.dartmouth.edu/archive/m8s00/public_html/handouts/matrices2/node8.html
jango_IN_DTOWN
  • jango_IN_DTOWN
go through this link
jango_IN_DTOWN
  • jango_IN_DTOWN
I am sure you will get what is required
chrisplusian
  • chrisplusian
I am sorry, I just realized that I started reading one side of my notes, and after my son walked in to ask me a question I started reading a different side of the notes and confused the issue. SO I will try again reading the same side... I apologize. If I am still confused I will repost a sensible question.
jango_IN_DTOWN
  • jango_IN_DTOWN
ok no problem
chrisplusian
  • chrisplusian
Yeah I went back and looked at the correct side, and followed the link you gave me, but I still don't understand. The webpage explains in terms of differential equations, and I took that class over two years ago, so I can't remember that either.

Looking for something else?

Not the answer you are looking for? Search for more explanations.