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Math Help - What does this notation mean?

  1. #1
    Junior Member
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    What does this notation mean?

    Hi, I'm working through a Linear Algebra textbook and I've run into a notation that I can't seem to find explained in the textbook. At least, I think it's a notation?

    Basically, I was given two arrays like:


    ........2 0 3
    A =..4 2 3
    ........5 3 2

    ........5 0 4
    B = ..7 3 3
    ........2 3 1

    (numbers are made up, if it matters I can dig up the actual numbers)

    The first things I had to do with this was figure out 2A - 2B, this was all well and good.

    The second thing I had to do was figure out 5A^T. There is the issue, I'm not sure what this T is, I don't see any value assigned to T in the question and I can't find an explanation of what to do with T in the textbook.

    Does anyone know what this means? Thanks!
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by cb220 View Post
    Hi, I'm working through a Linear Algebra textbook and I've run into a notation that I can't seem to find explained in the textbook. At least, I think it's a notation?

    Basically, I was given two arrays like:


    ........2 0 3
    A =..4 2 3
    ........5 3 2

    ........5 0 4
    B = ..7 3 3
    ........2 3 1

    (numbers are made up, if it matters I can dig up the actual numbers)

    The first things I had to do with this was figure out 2A - 2B, this was all well and good.

    The second thing I had to do was figure out 5A^T. There is the issue, I'm not sure what this T is, I don't see any value assigned to T in the question and I can't find an explanation of what to do with T in the textbook.

    Does anyone know what this means? Thanks!
    It means to transpose the matrix or to exchange all of the rows and columns

    A=\begin{bmatrix}a& b \\ c& d \end{bmatrix} Then

    A^T=\begin{bmatrix}a& c \\ b& d \end{bmatrix}
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  3. #3
    Junior Member
    Joined
    Aug 2008
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    Ah! I see, thanks for the quick response.
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