1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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: QR factorization

  1. Feb 17, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the QR factorization of A = {1, 1}, {-1, 1}
    3. The attempt at a solution
    I just don't know the procedure.
    I know it means that I need find Q and R such that A=QR, Q be orthogonal, and R be upper triangular.
    It may be solved by assign Q = {a, b},{c, d}, where ##Q^TQ=1##
    and P = {e, f}, {0, g}
    But, as I run Mathematica, it gives me P that the left-down side entry is nonzero.
    Is there any point that I misunderstood?
    And is there any way to simplify the procedure?
    P.S. Please forgive me that I don't know how to "type" a matrix.
  2. jcsd
  3. Feb 17, 2012 #2
    Q is obtained by Schmidt othnormalization, record the coefficients to get R.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Similar Threads for factorization
Finding an Integrating Factor