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所在平台: Udemy |
课程主页: https://www.udemy.com/course/linear-algebra-linear-transformations-vector-spaces/
课程评论：没有评论
课程名称：线性代数：线性变换与向量空间 课程概述：在本课程中，您将学习一些重要的数学概念，称为线性变换和向量空间。这些概念用于理解如何处理数学中的形状和模式。我们将学习矩阵，这是一种可以用来表示线性变换的数字网格。我们还将学习向量，向量就像箭头，可以相加和相减以找到新的位置。 我们将重点学习的一个概念是“基”，这是一个向量集合，可用于表示向量空间中的任何其他向量。此外，我们将学习一种名为Gram-Schmidt过程的方法，它可以将一组向量转化为“正交标准基”，这意味着这些向量彼此垂直，并且长度为1。 在整个课程中，我们将练习使用这些概念和技术来解决问题，如寻找变换矩阵、变换向量和解决线性方程组。这个课程是学习数学的良好机会，让您了解如何使用数学来理解周围世界的模式和形状。如果您希望在数学领域（如数据科学）追求职业发展，或者您是学生，或者只是想进一步提升数学教育，那么本课程非常适合您。
In this course, you will learn about some important concepts in math called linear transformations and vector spaces. These concepts are used to understand how to work with shapes and patterns in math.We will learn about matrices, which are like grids of numbers that can be used to represent linear transformations. We will also learn about vectors, which are like arrows that can be added and subtracted to find new positions.One of the main things we will learn about is called a basis, which is a set of vectors that can be used to represent any other vector in a vector space. We will also learn about something called the Gram-Schmidt process, which is a way to turn a set of vectors into an "orthonormal" basis, which means that the vectors are all perpendicular to each other and have a length of 1.Throughout the course, we will practice using these concepts and techniques to solve problems, such as finding Transformation matrices, transforming vectors, and solving systems of linear equations.This course is a good opportunity to learn more about math and how it can be used to understand patterns and shapes in the world around us. This course is for you if you are looking to pursue a career in a mathematical field such as Data Science, you're a student, or you are just looking to further your mathematics education.
