Finite-Dimensional Vector Spaces (𝑉,𝐹)

• is a vector space (𝑉,𝐹) having a FINITE basis vectors
• opposed to infinite-dimensional vector space

Finite-Dimensional Vector Space - Examples

• set of all polynomial functions of degree 𝑘 or less
  • example finite basis #1 {1, 𝑥, 𝑥², ..., 𝑥^𝑘} # "standard basis"
  • example finite basis #2 {4, 6𝑥, 1𝑥², ..., 2𝑥^𝑘}

Subpages

• Vector Spaces - Finite vs Infinite Dimensions