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课程介绍
Linear algebra is about linear combinations. That is, using arithmetic on columns of numbers called vectors and arrays of numbers called matrices, to create new columns and arrays of numbers. Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. Topics included as the following:
How to solve systems of linear equations by several methods;
About the rules of arithmetic for matrices and vectors, including computing determinants and matrix inverses;
How to find an LU-factorization for certain matrices;
About the ideas of vector spaces and subspaces;
How to compute eigenvalues and eigenvectors of matrices.
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