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: Linear Alg: Find all values of a and determine all solutions

  1. Jan 28, 2015 #1
    1. The problem statement, all variables and given/known data

    x - 2y + z = 0
    x + ay - 3z = 0
    -x + 6y - 5z = 0

    2. Relevant equations
    3. The attempt at a solution

    i've got it reduced all the way down to
    1 0 0 0
    0 1 -1 0
    0 0 -1a+3 0

    I could show more of the steps if needed, but im just wondering what I can do to reduce the matrix further, or how i could get solutions from what i have so far
  2. jcsd
  3. Jan 28, 2015 #2


    User Avatar

    I think your reduced form is off.

    I get

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

    If you want to find the solutions then you need to figure out what this matrix is telling you. Start with rows 1 and 3. What do they tell you about the relationship between x, y and z? If you can figure out those then we can move onto the second row which is slightly different.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted