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Multiplying a vector with Square Matrix vs. its transpose

  1. Nov 21, 2012 #1

    I am new to Math so I am trying to get some intuition.

    Let's say I have a matrix A of n x n and a vector B of n x 1 what is the difference between A x B and A' x B?

  2. jcsd
  3. Nov 21, 2012 #2


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    Science Advisor

    I am not sure what you are looking for. I suggest you create some simple examples (n = 2 or 3) and see what you get.
  4. Nov 21, 2012 #3


    Staff: Mentor

    If the matrix A is symmetric, there's no difference between Ab and ATb.

    Note that I changed your notation a bit. Capital letters are usually used to represent matrices, and lower case letters are usually used for vectors.
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