Difference between revisions of "ApplyMatrix Command"
From GeoGebra Manual
| Line 1: | Line 1: | ||
<noinclude>{{Manual Page|version=4.2}}</noinclude> | <noinclude>{{Manual Page|version=4.2}}</noinclude> | ||
{{command|vector-matrix}} | {{command|vector-matrix}} | ||
| − | ; ApplyMatrix[ <[[Matrices|Matrix]]>, <[[Geometric Objects| | + | ; ApplyMatrix[ <[[Matrices|Matrix]]>, <[[Geometric Objects|Object]]> ]: Transforms the object ''O'' so that point ''P'' of ''O'' is mapped to |
* point ''M*P'' (with matrix ''M'') in case M is a 2x2 matrix or | * 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. | * 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. | ||
Revision as of 15:43, 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(\frac{π}{2} ),-sin(\frac{π}{2} )},{sin(\frac{π}{2} ),cos(\frac{π}{2} )}} be the transformation matrix and u=(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.
