5 Computing transformations with matrices
This chapter covers
- Writing a linear transformation as a matrix
- Multiplying matrices to compose and apply linear transformations
- Operating on vectors of different dimensions with linear transformations
- Translating vectors in 2D or 3D with matrices
In the culmination of chapter 4, I stated a big idea: any linear transformation in 3D can be specified by just three vectors or nine numbers total. By correctly selecting these nine numbers, we can achieve rotation by any angle about any axis, reflection across any plane, projection onto any plane, scaling by any factor in any direction, or any other 3D linear transformation.
The transformation expressed as “a rotation counterclockwise by 90° about the ...
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