18.06SC Linear Algebra
18.06SC Linear Algebra (Fall 2011, MIT OCW). Taught by Prof. Gilbert Strang, this course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering. This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include: a complete set of lecture videos, summary notes, problem solving videos, and a full set of exams and solutions. (from ocw.mit.edu)
Lecture 10 - Independence, Basis and Dimension |
A basis is a set of vectors, as few as possible, whose combinations produce all vectors in the space. The number of basis vectors for a space equals the dimension of that space.
References |
Independence, Basis and Dimension A basis is a set of vectors, as few as possible, whose combinations produce all vectors in the space. Lecture Video and Summary. Suggested Reading. Problem Solving Video. |
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