Matrices and Determinants

Further Mathematics S.S.S 3 First Term

WEEK 5

Matrices and Determinants

Performance Objectives

Students should be able to:

1. Perform transformations using the appropriate matrices of transformation
2. Evaluate determinants

Content

One major area of application of matrices is in the area of linear transformation which is one-one mapping of a point called the object in a plant into a point called the image in the plane. An object can undergo any of the following transformations:

1. Rotation
2. Enlargement or reduction
3. Reflection
4. Shear
5. Stretch

Rotation

Consider the transformation of a unit square under rotation of +90^o about the origin. If we denote the mapping as , then

T:A→A'  or TA=A'

We can write the co-ordinate of O, A, B and C…