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

...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

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

... 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

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

... 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

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

... 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

...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

... 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