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Math Help - Matrix solutions

  1. #1
    Junior Member
    Joined
    Apr 2009
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    Matrix solutions

    Find a and b if :solution exists, solution doesn't exist, solution is unique, etc

    x-y+z=b
    -x+ay+2z=1
    2x-2y+z=1

    I've used row reduction and I just want to verify my answers (got this problem wrong on a test)

    infinitely many solutions- a=1 and b=.5
    no solutions- b=/.5
    unique solution- a=/1 b=.5

    thanks

    edit- fixed with last solution
    Last edited by Zocken; December 7th 2009 at 04:32 PM.
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  2. #2
    Member kjchauhan's Avatar
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    you have given

    x+y+z=b

    -x+ay+2z=1

    but

    2x-2y+z=?
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