Matrix Transformations

Expanding on the concept of matrices, this topic focuses on their use in performing geometric transformations. Students learn how matrices can represent reflections, rotations, enlargements, and translations on a plane. This visual and interactive topic enhances spatial understanding and connects algebra to geometry, with applications in design, graphics, and animation.

Learning Outcomes:
The learner should be able to:

• Identify matrix forms for rotation, reflection, translation, and enlargement.
• determine the image given the object and transformation matrix, on a coordinate grid.
• identify the matrix of transformation when the object and its image are given.
• determine the inverse of a transformation matrix.
• use the inverse matrix to find the object when the image is given.
• identify the relationship between area scale factor and determinant of the transformation matrix.
• determines a single matrix for successive transformations.
• Apply matrix transformations to geometric shapes on a coordinate plane.
• Use transformations to solve real-world problems involving movement and design.