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: Linear Algebra-Uniqueness of rref

  1. Mar 27, 2010 #1
    1. The problem statement, all variables and given/known data

    "Prove a specific rref matrix is unique"

    2. Relevant equations

    3. The attempt at a solution

    This is all I have on my review sheet for my next exam. I have the proof of the uniqueness of rref but how do you prove a specific rref matrix is unique ?

    say that's any nonsingular matrix in R^3
    Would appreciate any hints.

  2. jcsd
  3. Mar 27, 2010 #2
    If the system is unique, we know it is nonsingular. What does a nonsingular rref matrix look like? It is a diagonal matrix with 1s in the diagonals or identity matrix.

    Also, if the nxn matrix is unique, the column vectors are linearly independent.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook