Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Matrix inverse?

  1. Jan 16, 2010 #1
    If A,B and C are nxn matrice, with B and C nonsingular, and b is an n-vector, how would you implement the formula



    x = B-1(2A+I)(C-1+A)b, without computing any matrix inverse?



    I made it Bx=(2A+1)C-1(I+CA)b, but don't know how to pull out the C-1 from the middle in order to take the equation without matrices inverse,sigh.. but I don't know if I approached it right because I don't even get the question.

    Please help me!!!!
    Thank you very much :frown:
     
    Last edited by a moderator: Mar 7, 2013
  2. jcsd
  3. Jan 16, 2010 #2
    Re: Please help!

    The furthest I could come was by working out the parentheses:

    CBx = (2CAC-1+2CA2+I+A)b

    I hope someone else can get some answer...
     
  4. Jan 16, 2010 #3

    Mark44

    Staff: Mentor

    Re: Please help!

    What do you mean "implement the formula"? Is the goal to evaluate the right hand side of the original equation to get x?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook