A community for students.
Here's the question you clicked on:
 0 viewing
SamIam
 5 years ago
Is there some special method to find the inverse of an elementary matrix?
SamIam
 5 years ago
Is there some special method to find the inverse of an elementary matrix?

This Question is Closed

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0haha u r here without a notification

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Gaussian RowReduction is useful. For a two by two matrix, \[A =\left[\begin{matrix}a & b \\ c & d\end{matrix}\right]\] The inverse matrix is \[\frac{1}{adbc} \left[\begin{matrix}d & b\\ c &a\end{matrix}\right]\]

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0i think they are looking for something using elementary row operations

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0I mean elentary matrices

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't know what you mean by an elementary matrix.

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0LOL neither do I ok i will read some more and try to figure oout

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh oh oh nevermind, sorry, my fault. You only need one row operation to change an elementary matrix into the identity.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0An example might be \[\left[\begin{matrix}1 & 0 \\0 & 2\end{matrix}\right]\]

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0so the second row must be multiplied by a 1/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So yes that's right samlam

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0ya but like I am trying to find the inverse of this

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0using products of elementary matrices

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That's easy to do, just use the usual technique of finding inverse.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0How about \[\left[\begin{matrix}1 & 0 \\0 & 1/2\end{matrix}\right]\] ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If A is an elementary square matrix.

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0ohhhh cuz we are going backwards?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now write \( A= I_n A \)

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0Not getting this stuff at all

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Then do sequence of row operation on the L.H.S and the prefactor I_n till we obtain \( I_n=BA \) This step will be easy since A is an elementary matrix.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now we can write \( A^{1}=B \)

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0ok so show sth an example plz

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I am too tired for a Latex example now :(

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://nptel.iitm.ac.in/courses/Webcoursecontents/IITKANPUR/mathematics2/node27.html That's rowreduction. The only difference between that and what you're talking about with elementary matrices is that when the matrices are elementary its far easier.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0That's an nice example Jemurray.

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0A new day will bring fresh wisdom :D I think I gotta sleep over it

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0U kept on writing things and then deleting LOL

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Now you believe in evolution? :P

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0LOL uhhhh no! Did u see what i answered tanusingh

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0Y did it take u so long to like say something to me

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Obviously I am evolving very slowly :P

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0U knew it was me the whole time right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol then who are you? :P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0How am I suppose to know? lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I am a fool NotStupid :D

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0y r u deleting all ur posts?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0haha you like her ? :P

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't want others to know ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0and I love her too lol :D

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0star told ever1 that i am rld lol

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0who is star and ever1?

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0star is a girl and everyone LOL

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0whtvr she was mad that i asked her out and pretended to be a guy LOL

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0Every1 in that group knew that I waas rld but her and so i played a lil joke on her but she like started calling me names and whtvr

SAMIAM
 5 years ago
Best ResponseYou've already chosen the best response.0FOOOOLLLLL I figured out what to do LOL

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u have digressed frm d topic
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.