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I True False Question

  1. Apr 3, 2016 #1
    So I'm reading chapter 1.1 of Elementary Linear Algebra by Anton and there's this true-false question:

    "A linear system whose equations are all homogenous must have a unique solution."

    Taking this question simply as it is I think the answer should be false, because while there's always the trivial solution, it's also possible for there to be infinite solutions. Yet the book gives the answer as True? I think it's pretty confusing and doesn't give the student confidence when the very first question has the wrong answer.
     
  2. jcsd
  3. Apr 3, 2016 #2

    micromass

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    The book is wrong.
     
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