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  1. The matrix for xy plane counterclockwise rotation is [ cos(theta) -sin(theta) ] [ sin(theta) cos(theta) ] so since the value of theta...

    2 Answers · Science & Mathematics · 13/02/2010

  2. ...x' = 0x - 1y y' = 1x + 0y or x' = -y y' = x But rotation matrices only rotate around (0, 0). Those would be the operations to rotate around...

    2 Answers · Science & Mathematics · 18/08/2012

  3. First, an n x n matrix is diagonalizable if and only if there are n linearly independent ...be the same up to scalar multiplication. All you need is the transformation matrix for the diagaonlization. This is constructed by setting...

    2 Answers · Science & Mathematics · 23/08/2012

  4. ... making the matrices compatible - you can't have a 2x2 rotation matrix - you need one that handles the same coordinate system that your translation...

    2 Answers · Science & Mathematics · 21/05/2009

  5. The matrix that you used was for rotation - you want to use a matrix that induces reflection. For example, lets...

    1 Answers · Science & Mathematics · 17/12/2012

  6. ... the matrix is not given, there is no way to evaluate the rotation matrix multiplied by Aɸ... The solution exists if and only...

    2 Answers · Science & Mathematics · 14/02/2013

  7. If the rotation is about the x-axis, then theta will represent the degree of the rotation in the y-z plane, i.e. the same value as if you just had a 2D- rotation in the y-z plane.

    1 Answers · Science & Mathematics · 07/03/2013

  8. ... the coordinates of the center of mass. Then apply the normal rotation matrix (don't know if you know them, they're here: http://en.wikipedia.org/wiki...

    1 Answers · Science & Mathematics · 21/02/2013

  9. ...the translation matrix is (1 0 Px) (0 1 Py) (0 0 1 ) and the rotation matrix is (cos Ø, -sin Ø, 0) (sin Ø, cos Ø, 0...

    2 Answers · Computers & Internet · 19/12/2007

  10. ... that you want to rotate the figure 90° counterclockwise. Recall that the rotation matrix is: R = [cos(θ) -sin(θ)] [sin(θ) cos(θ)] If θ = 90...

    1 Answers · Science & Mathematics · 10/12/2012

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