1. Not finding help here? Sign up for a free 30min 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!

Linear Algebra: use elem. row ops to convert A into B

  1. Mar 4, 2015 #1
    1. The problem statement, all variables and given/known data

    Show that the given matrices are row equivalent and find a sequence of elementary row ops that will convert A into B.

    a =
    2 0 -1
    1 1 0
    -1 1 1

    b =
    3 1 -1
    3 5 1
    2 2 0

    2. Relevant equations


    3. The attempt at a solution

    I apologize in advance, as I'm not sure how to make these matrices look good (will need to look up LATEX, so I can present my matrices better).

    The elementary row ops that I chose to do were as follows:

    R2 + R1 --> R1
    R2 <---> R3
    R3 + R2 -->R2
    R1 + R2 --> R2
    2R3 --> R3
    R3 + R2 --> R2

    This gave me the following matrix, which is not the answer, but is my best try:

    a =
    3 1 -1
    5 5 0
    2 2 1
     
  2. jcsd
  3. Mar 4, 2015 #2

    Svein

    User Avatar
    Science Advisor

    Close..
    R2 + R1 →R1 OK
    4*R2 + R3→R2
    Now do the third row...
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Linear Algebra: use elem. row ops to convert A into B
Loading...