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인공지능선형대수학 3

Lecture6 Column Space and Nullspace

안녕하세요,오늘은 MIT Gilbert Strang교수님의 Linear algebra 6강 Column Space and Nullspace에 대해 리뷰해보도록 하겠습니다.   Vector SpaceA vector space is a collection of vectors which is closed under linear combinations. In other words, for any two vectors v and w in the space and any two real numbers c and d, the vector cv + dw is also in the vector space. A subspace is a vector space contained inside a vector space. Ve..

Lecture #4 Factorization into A = LU

안녕하세요, 오늘은 MT Gilbert Strang 교수님의 Linear Algebra 수업 Lecture4, Factorization into A = LU 에 대해 다루어보겠습니다.      Inverse of a productThe inverse of a matrix product AB is B−1 A−1. AB의 역행렬은 B−1 A−1이다.  Transpose of a product행과 열을 바꿀 때 사용the entry in row i column j of A is the entry in row j column i of A^T열I와 행J의 A를 열J와 행I으로 바꾼 것을 A^T라고 한다. The transpose of a matrix product AB is BTAT. For any invert..

An Overview of Linear Algebra

안녕하세요, 인공지능 전공자라면 정말 중요하지만 어렵게 느끼는 선형대수학 입니다. 오늘은 MIT GilbertStrang 교수님의 2강인 An Overview of Linear Algebra 에 대해 리뷰해보겠습니다.   This is an overview of linear algebra given at the start of a course on the math­ ematics of engineering.  VectorsWhat do we do with vectors? Take combinationsWe can multiply vectors by scalars(such as under x1,x2,x3), add, and subtract. Given vectors u, vand w we can form ..

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