Difference between revisions of "ApplyMatrix Command"
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* point ''project(M*(x(P), y(P), 1))'' where ''project'' is a projection mapping point ''(x,y,z)'' to ''(x/z, y/z)'' in case of 3x3 matrix. | * point ''project(M*(x(P), y(P), 1))'' where ''project'' is a projection mapping point ''(x,y,z)'' to ''(x/z, y/z)'' in case of 3x3 matrix. | ||
| − | :{{example|1=< | + | :{{example|1= Let <code>M={{cos(π/2),-sin(π/2)},{sin(π/2),cos(π/2)}}</code> be the transformation matrix and <code>u=(2,1)</code> a given vector (object). <code>ApplyMatrix[M,u]</code> yields the 90 degrees rotated (with mathematicaly positiv sense of rotation) vector ''u´=(-1,2)''.}} |
:{{note| 1=This command also works for [[Images|images]].}} | :{{note| 1=This command also works for [[Images|images]].}} | ||
Revision as of 18:02, 8 July 2013
- point M*P (with matrix M) in case M is a 2x2 matrix or
- point project(M*(x(P), y(P), 1)) where project is a projection mapping point (x,y,z) to (x/z, y/z) in case of 3x3 matrix.
- Example: Let
M={{cos(π/2),-sin(π/2)},{sin(π/2),cos(π/2)}}be the transformation matrix andu=(2,1)a given vector (object).ApplyMatrix[M,u]yields the 90 degrees rotated (with mathematicaly positiv sense of rotation) vector u´=(-1,2).
- Note: This command also works for images.
