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Math Help - Cross product

  1. #1
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    Cross product

    how do you perform the cross product on something like this? \begin{bmatrix} c& s & 0 &  \\ -s &c & 0 & \\ 0& 0& 1& \end{bmatrix} X  \begin{bmatrix} x&\\ y &\\ 1 & \end{bmatrix}
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by p00ndawg View Post
    how do you perform the cross product on something like this? \begin{bmatrix} c& s & 0 &  \\ -s &c & 0 & \\ 0& 0& 1& \end{bmatrix} X  \begin{bmatrix} x&\\ y &\\ 1 & \end{bmatrix}

    3x3 X 3x1 = 3x1 so

    \begin{bmatrix} c & s & 0 \\ -s & c & 0 & \\ 0 & 0 & 1 & \end{bmatrix} \times \begin{bmatrix} x \\ y \\ 1 \end{bmatrix} = \begin{bmatrix} cx+sy \\ -sx +cy \\ 1\end{bmatrix}
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