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Math Help - Transformation of planes

  1. #1
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    Transformation of planes

    A unit square in \Re^2 formed by vertices (0,0), (0,1), (1,0), (1,1).

    how does the matrix
    \left(\begin{array}{cc}1&-1\\1&1\end{array}\right)

    transform the the square. Draw the transformed square.

    Thanks!
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  2. #2
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    Quote Originally Posted by Linnus View Post
    A unit square in \Re^2 formed by vertices (0,0), (0,1), (1,0), (1,1).

    how does the matrix
    \left(\begin{array}{cc}1&-1\\1&1\end{array}\right)

    transform the the square. Draw the transformed square.

    Thanks!
    Individually pre-multiply each of the vectors (0,0) , (0,1) , (1,0) and (1,1) by the matrix. Where do they get mapped? This should help you to draw the transformed square.

    Hope this helps.
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  3. #3
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    Thanks! if you have some random numbers in the 2x2 matrix, would it transform the unit square into a trianglele?
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