Results 1 to 4 of 4

Thread: For what values is the matrix invertible?

  1. #1
    Newbie
    Joined
    Jun 2008
    Posts
    2

    For what values is the matrix invertible?

    | 0 1 b|
    |-1 0 c|
    |-b -c 0|

    Sorry about the crummy format.

    I've found matrix inverses before, but I am unsure of how to solve for these values. I would think that making the variables pivots would be the only way to find a solution, but I don't want to be taking shots in the dark. Any help would be much appreciated. Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Rhymes with Orange Chris L T521's Avatar
    Joined
    May 2008
    From
    Chicago, IL
    Posts
    2,844
    Thanks
    5
    Quote Originally Posted by Solitary Nut View Post
    | 0 1 b|
    |-1 0 c|
    |-b -c 0|

    Sorry about the crummy format.

    I've found matrix inverses before, but I am unsure of how to solve for these values. I would think that making the variables pivots would be the only way to find a solution, but I don't want to be taking shots in the dark. Any help would be much appreciated. Thanks
    You can determine if the matrix is nonsingular by find values such that the $\displaystyle \det A\neq 0$. Do you you how do find the determinant?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2008
    Posts
    2
    Nonsingular? I'm not sure what you mean by that. As for the determinant, I'm kind of vague. CD-BA is it? Then you'd need to make some sort of partition, wouldn't you?

    I'm sorry, I find my math teacher very hard to follow. It's very hard for me to pick this stuff up.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    9
    Quote Originally Posted by Solitary Nut View Post
    Nonsingular? I'm not sure what you mean by that. As for the determinant, I'm kind of vague. CD-BA is it? Then you'd need to make some sort of partition, wouldn't you?

    I'm sorry, I find my math teacher very hard to follow. It's very hard for me to pick this stuff up.
    Non-singular means has an inverse. Singular means does not have an inverse.

    Read this: 6.4 - The Determinant of a Square Matrix
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Values of K that makes a matrix non-invertible
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Feb 9th 2011, 05:00 AM
  2. Invertible matrix
    Posted in the Math Challenge Problems Forum
    Replies: 9
    Last Post: Jul 1st 2010, 02:49 AM
  3. Nilpotent matrix Invertible matrix
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Jan 6th 2010, 11:08 AM
  4. Invertible Matrix
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: Sep 17th 2009, 06:05 PM
  5. Get just a few values of invertible matrix
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Dec 10th 2008, 01:59 PM

Search Tags


/mathhelpforum @mathhelpforum