Linear Algebra & Its Applications Ch4.1: Vector Spaces and Subspaces

This video covers Linear Algebra & Applications: Vector Spaces and Subspaces. Topics include
- Definition of a Vector Space with Several Examples:
- the Zero Space
- Space of Polynomials
- Space of nxn Matrices
- Space of Real-Valued Functions
- Definition of Subspace
- A look at the Subspace of a Span of Vectors
- several examples worked in detail
- recommended book: Linear Algebra and Its Applications by David D Lay, Steven R Lay, and Juhi J. McDonald, and Introduction to Linear Algebra by Johnson/Riess/Arnold

[surajshukla]

Thanks nice lecture we really loved it ) .. subbed you

[AayushBasil]

at 55:22, I don't understand the set of vector notation, why does(a-3b, b-a, a, b) correspond to a vector where each of those form the rows of the vector, from my understanding of it, shouldnt each one correspond to a single vector i.e v1, v2, v3, v4, I don't get why in this case, v1v2v3v4 are the rows of a singular vector instead of multiple