What is a basis of a vector space?

This course presents vectors, matrices, determinants, eigenvalues, and eigenvectors; and how these concepts may be used and applied. Aug 9, 2019 ... Linear algebra is about linear combinations. That is, using arithmetic on columns of numbers called vectors and arrays of numbers called ... Features · Understanding Linear Algebra can support a two-course introductory sequence to linear algebra. · Understanding Linear Algebra is intended to support ... A function is called a linear map or a linear transformation if 1. for all λ ∈ F and all v ∈ V we have T ⁢ ( λ ⁢ v ) = λ ⁢ T ⁢ ( v ) , and 2. A novel open-source inquiry-based learning approach to linear algebra. The emphasis is on active learning and developing intuition through investigation of ... General Information (Catalog listing) ... Systems of linear equations, Gaussian elimination, matrices and determinants, vectors in two- and three-dimensional ... A fresh approach to numerical linear algebra in Julia. The purpose of this package is partly to extend linear algebra functionality in base to cover generic ... Past semesters: Exercises and exams ... We have also collected archived problem sets and exams, with solutions from many previous semesters of 18.06 at MIT. You ... Topics include systems of linear equations, matrix algebra, determinants, real and complex vector spaces, linear transformations, eigenvalues and ... Course Description: Matrices, Gaussian elimination, vector spaces, LU-decomposition, orthogonality, Gram-Schmidt process, determinants, inner products, ...