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Lecture8 Solving Ax = b: Row Reduced Form R

오늘은 MIT GilbertStrang교수님의 Linear algebra 8강에 대해 학습하겠습니다.Solvability conditions on bThe third row of A is the sum of its first and second rows, so we know that if Ax = b the third component of b equals the sum of its first and second components. If b does not satisfy b3 = b1 + b2 the system has no solution. If a combination of the rows of A gives the zero row, then the same combination of the ent..

카테고리 없음 2024.12.09

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..

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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