• 4.1 Matrix algebra

  • 4.1.1 Matrix operations
  • 4.1.2 Matrices- introduction and elementary computations
  • 4.1.3 Elementary operations
  • 4.1.4 Matrix multiplications – the product of two matrices
  • 4.1.5 the row-column rule
  • 4.1.6 Commutation and transpose
  • 4.1.7 The matrix equation Ax=b

• 4.2 Matrix inverse

  • 4.2.1 Introduction – inverse of a matrix
  • 4.2.2 The inverse of a 2 by 2 matrix
  • 4.2.3 How can we compute the inverse of a matrix?
  • 4.2.4 The inverse of a matrix – example
  • Pen and Paper Exercises – module 4. Matrix operations