Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
frx
Group Title
For which values of the constant a does the equationsystem have infinty many solutions and then doesn't any solutions exist.
\[ax _{1} +(a1)x _{2}+(a2)x _{3}=0\]
\[(a3)x _{2}+(a4)x _{3}=1\]
\[(a5)x _{3}=0\]
Well I know that the system has infinity many solutions when a=5 but what should I look for then searching for the values there no solutions exist?
 one year ago
 one year ago
frx Group Title
For which values of the constant a does the equationsystem have infinty many solutions and then doesn't any solutions exist. \[ax _{1} +(a1)x _{2}+(a2)x _{3}=0\] \[(a3)x _{2}+(a4)x _{3}=1\] \[(a5)x _{3}=0\] Well I know that the system has infinity many solutions when a=5 but what should I look for then searching for the values there no solutions exist?
 one year ago
 one year ago

This Question is Closed

frx Group TitleBest ResponseYou've already chosen the best response.0
\[\left[\begin{matrix}a & a1&a2 \\ 0 & a3&a4 \\ 0&0&a5\end{matrix}\right]\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
i am not sure, but since you have the matrix there, maybe you could take the determinate, set it equal to zero and solve for \(a\)
 one year ago

frx Group TitleBest ResponseYou've already chosen the best response.0
If i rember correct then infinity is when the matrix get a full row of zeros and no solution then matrix gets a row of zeros but the answer isn't zero, do you think that can be right?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
the determinant is \(a(a3)(a5)\) so maybe no solution if \(a=0,a=3,a=5\)
 one year ago

frx Group TitleBest ResponseYou've already chosen the best response.0
The key says a=0 and a=3 so that seems to be right
 one year ago

frx Group TitleBest ResponseYou've already chosen the best response.0
Hehe so now I know the way to solve these are by using the determinant, thank you satellite73, helpful as always :)
 one year ago
See more questions >>>
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.