need math whiz help?

Question

What is the approach to take for transforming one coordinate system to
another where it isn't just a translation transformation but also
rotations and even reflections? The general case is where one would
have two coordinate systems, each defined by its origin, and three
orthogonal vectors defining x,y,z axes.

Answer 1

In Euclidean coordinate systems, linear transformations are made by matrices. For instance, in two dimensions, rotation by angle a is accomplished by the 2x2 matrix

cos a -sin a
sin a cos a

Reflection, projection, shear, etc, are all similarly expressed by matrices. In fact, matrices can even be defined as coordinate transformations.

Hope this helps,


açafrã[e-mail]

Answer 2

Pie=MCsquare what else