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

how does the matrix

$\displaystyle \left(\begin{array}{cc}1&-1\\1&1\end{array}\right)$

transform the the square. Draw the transformed square.

Thanks!

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- Sep 1st 2009, 02:33 PMLinnusTransformation of planes
A unit square in $\displaystyle \Re^2$ formed by vertices (0,0), (0,1), (1,0), (1,1).

how does the matrix

$\displaystyle \left(\begin{array}{cc}1&-1\\1&1\end{array}\right)$

transform the the square. Draw the transformed square.

Thanks! - Sep 1st 2009, 02:36 PMpomp
- Sep 2nd 2009, 04:51 PMLinnus
Thanks! if you have some random numbers in the 2x2 matrix, would it transform the unit square into a trianglele?