https://ocw.mit.edu/courses/18-06-linear-algebra-spring-2010/resources/lecture-9-independence-basis-and-dimension/

 

Lecture 9: Independence, basis, and dimension | Linear Algebra | Mathematics | MIT OpenCourseWare

What does it mean for vectors to be independent? How does the idea of independence help us describe subspaces like the nullspace? A basis is a set of vectors, as few as possible, whose combinations produce all vectors in the space. The number of basis vect

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