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Linear algebra

  1. Sep 29, 2013 #1
    Let a,b,c be three 3x1 vectors. Let A be a 3x3 upper triangular matrix which ensures that the 3x1 vectors d,e and f obtained using

    [d e f]=A[a b c]

    are orthogonal.

    a)Express the elements of A in terms of vectors a,b and c.
    b)what is the condition on a,b and c which allows us to find an orthogonalizing matrix A?
    c)what is the condition on a,b and d which would allow that A be a diagonal matrix?


    please help me to solve problem
     
  2. jcsd
  3. Sep 29, 2013 #2

    arildno

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    Show us your work. No pain, no gain.
     
  4. Sep 29, 2013 #3
    I am sure I can solve the problem . I just want one hint to start the problem.
     
  5. Sep 29, 2013 #4

    arildno

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    Hint:
    Read your textbook.
     
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