2-2. 선형결합

본 글은 주재걸교수님의 인공지능을 위한 선형대수 강의를 듣고 정리한 내용입니다.

 

• Linear Combinations(v1, v2 ...)
• Weights or Coefficients(c1, c2, ...)

From Matrix Equation to Vector Equation

• Span
  • Span is defined as the set of all linear combinations of vector
  • Collection of all vectors that can be written in the form c1v1 + c2v2 + ... + cpvp

 

• Linear Combination of columns

 

• Linear Combination of rows

  

• (Rank-1) outer product

  

  위 예시에서 vector -> Matrix
• Sum of (Rank-1) outer products

출처: https://www.edwith.org/ai251