Website owner:  James Miller

                       LINEAR SPACES --- EXAMPLES

Examples of Linear Spaces.

  - set of all n-dimensional vectors over either the real or complex field

  - set of all mxn matrices over either the real or complex field

  - set of all polynomials of all degrees in one variable (an infinite-

      dimensional space)

  - set of all polynomials of degree less than or equal to n

  - set of all real continuous functions on an interval [a,b]

  - set of all complex continuous functions on the real interval [a,b]

  - set of all solutions of a linear homogeneous differential equation

  - various infinite sequences and infinite series