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In a first course on linear algebra we generally try to answer the following questions regarding linear systems:

  • Are there any solutions?
  • Does the system have no, unique or an infinite number of solutions?
  • How can we find all the solutions if they exist?
  • Is there some sort of structure to the solutions?

Are there any questions we tend to answer on a linear algebra course?

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...and the question is? The last sentence in your post? I mean, you began by listing several things that are done on l.a., and then you ask what is done in l.a.? Be clear, please. –  DonAntonio May 20 '12 at 13:08
    
Sorry but the last question should say are there ANY other questions on Linear Algebra that we should address on a first course. Really want to highlight the main points of LA. –  matqkks May 25 '12 at 9:19
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closed as not a real question by Andres Caicedo, mixedmath Nov 26 '12 at 6:46

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1 Answer

Here are all the Linear Algebra exams at my university for the last ten years. That should give you some idea of the questions we tend to ask in a linear algebra course.

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Thanks. I am trying to write a syllabus for a Linear Algebra course and wanted to start by looking at main questions that a student should be able to tackle by the end of the course. –  matqkks May 20 '12 at 16:27
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