Matrix multiplication does not commute.  What happens if matrix transformations are applied in the wrong order?

The transformed object can be (and often is) at a different (incorrect) location.

Experiment: Transformation 1 vs. Transformation 2

Transformation 1

• Rotate 90 degrees about y
• Translate 1 unit along z

M.Translate(glm::vec3(0.0f, 0.0f, 1.0f));
M.Rotate(glm::vec3(0.0f, 1.0f, 0.0f), 90.0f);
RenderPerson();

Transformation 2

• Translate 1 unit along z
• Rotate 90 degrees about y

M.Rotate(glm::vec3(0.0f, 1.0f, 0.0f), 90.0f);
M.Translate(glm::vec3(0.0f, 0.0f, 1.0f));
RenderPerson();



One must think carefully about the sequence of transformations applied to an object

High