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Math Help - Determine the effect of the following transformations

  1. #1
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    Determine the effect of the following transformations

    Determine the effect of the following transformations
    a) Rotation through pi/2, followed by projection on the Y axis, followed by reflection in the lines y=x.
    b) Projection on the X axis followed by reflection in the line y=x.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    It is easy to find the matrix of the rotation R and the reflection S :

    R \equiv \begin{bmatrix}{0}&{-1}\\{1}&{\;\;0}\end{bmatrix},\quad S \equiv \begin{bmatrix}{0}&{1}\\{1}&{0}\end{bmatrix}

    So,

    S\circ R\equiv \begin{bmatrix}{1}&{\;\;0}\\{0}&{-1}\end{bmatrix}

    that is, S\circ R is the reflection in the x axis.

    Try b) .


    Fernando Revilla
    Last edited by FernandoRevilla; February 13th 2011 at 12:06 AM.
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