Chapter 7 Introduction toIntroductionto Matrices

Chapter 7 Introduction toIntroductiontoMatricesMatrices are of fundamental importance in 3D math, where they are primarily used to describe therelationship between two coordinate spaces. They do this by defining a computation to transformvectors from one coordinate space to Matrix A Mathematical DefinitionIn linear algebra, a matrix is a rectangular grid of numbers arranged our earlier definition of vector as a one-dimensional array of numbers, a matrix maylikewise be defined as atwo-dimensional arrayof numbers. (Thetwoin two-dimensional array comes from the fact that there are rows and columns, and it should not be confused with 2D vec-tors or Matrices .)

A special diagonal matrix is the identity matrix.The identity matrix of dimension n, denoted I n,is then×nmatrixwith1’sonthediagonaland0’selsewhere.Forexample,the3×3identitymatrixis: Often, the context will make the dimension of the identity matrix used in a particular situation

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