4. MATRICES

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You will learn how to:

  • carry out matrix operations such as addition, subtraction, and multiplication.
  • recognise the terms zero matrix, identity matrix, singular and non-singular.
  • evaluate determinants, find inverse matrices and know to use identities such as(AB)^{-1}=A^{-1}B^{-1}
  • apply geometric transformations, such as rotations and enlargements, as well as being aware of the relation between scale factor and determinants.

Course Information

Categories: , ,

Resources/Textbook:
Cambridge International AS and A-Level Further Mathematics by McKelvey L., & Crozier M. (Download eBook)

Course Instructor

Dr. Vincent P. Techo Dr. Vincent P. Techo Author

Founder of Techo Academy. Mathematics and Further Mathematics instructor. Doctor of Business Administration (DBA). Master of Education (MEd) in Instructional Technology (Ongoing). Master of Business Administration (MBA). B.S. in physics.

 

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Intro

What is a matrix?
Types of matrices

Operations with Matrices

Lesson 1: Addition of matrices
Lesson 2: Multiplication by a scalar
Lesson 3: Multiplication of matrices

Determinants of Matrices

Lesson 4: Determinant of a 2×2 matrix
Lesson 5: Determinant of a 3×3 Matrix
Lesson 6[optional]: Determinant of NxN Matrix*****

Minors, Cofactors, and Adjoint matrix

Minors and Cofactors of a 2×2 Matrix
Minors and Cofactors of NxN Matrix
Adjugate (Adjoint) Matrix

Inverse Matrix

Lesson 6: Inverse of a 2×2 Matrix
Lesson 7: Inverse of a 3×3 Matrix

Row Operations 

Lesson 8: Inverse of a matrix by row operations

Matrix transformations

Lesson 9: Intro to matrix transformations
Lesson 10: Stretch and Enlargement
Lesson 11: Rotation
Lesson 11: Reflection
Lesson 12: Shear
Lesson 13: Area change
Lesson 14: Invariant lines

Summary: 

Review and Summary
Pst Paper Questions
Dr. Vincent P. Techo
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