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Math Help - How to define linear algebra terms

  1. #1
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    How to define linear algebra terms

    I do not understand this question/series of questions:

    how would I go about defining scalar multiplication in the context of 3-vectors with Cartesian coordinates and 3 x 3 matrices?
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  2. #2
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    Umm, if i had to guess, I'd say the problem wants you to find a way to arrange 3 element vectors and 3x3 matrices to perform a simple scalar multiplication.

    Let's say you want to multiply some scalars a and b:

    a*b = [a 0 0] * [1 0 0; 0 0 0; 0 0 0] * [b; 0; 0]

    That's a way to write a scalar multiplication using 3-element vectors and a 3x3 matrix..assuming that's what the question is asking.
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  3. #3
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    Quote Originally Posted by p00ndawg View Post
    I do not understand this question/series of questions:

    how would I go about defining scalar multiplication in the context of 3-vectors with Cartesian coordinates and 3 x 3 matrices?
    I interpret this completely differently from eigenvex. Multiplication of scalars is not referred to as "scalar multiplication".

    If a is a scalar and [x, y, z] is a 3-vector then their scalar product is [ax, ay, az].

    If a is a scalar and \begin{bmatrix}r & s & t \\ u & v & w \\ x & y & z\end{bmatrix} is a 3 by 3 matrix then their scalar product is
    \begin{bmatrix}ar & as & at \\ au & av & aw \\ ax & ay & az\end{bmatrix}
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