矢量空间

序言：本课程介绍了向量空间的概念，该矢量空间是一项统一的抽象框架，用于研究涉及潜水员的线性操作

co 1将许多熟悉的系统视为向量空间，并使用矢量空间工具（例如基础和维度）与它们一起运行。co 2了解线性变换并使用其矩阵表示来操纵它们。CO 3 Understand the concept of real and complex inner product spaces and their applications in constructing approximations and orthogonal projections CO 4 Compute eigen values and eigen vectors and use them to diagonalize matrices and simplify representation of linear transformations CO 5 Apply the tools of vector spaces to decompose complex matrices into simpler components, find least square approximations, solution of systems of differential equations etc.