Chapter 7: Matrices

Matrix multiplication


When we wish to multiply matrices together we have to ensure that the operation is possible; this is not always so. Also, unlike number arithmetic and algebra, even when the product exists the order of multiplication may have an effect on the result. In this Block we pick our way through the minefield of matrix multiplication.


Before starting this Block you should:

outcomes Learning outcomes

After completing this Block you should:

  • understand the concept of a matrix and the terms associated with it
  • know when the product AB exists
  • be able to recognise that in most cases AB is not equal to BA
  • be able to carry out the multiplication AB
  • understand what is meant by the identity matrix I

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