Introducing linear algebra
This mathematics vlog introduces linear algebra, covering topics such as systems of linear equations, matrix addition, matrix multiplication, vector addition, and vector multiplication. It explains how to solve systems of linear equations with infinite and no solutions, as well as how to use elementary row operations. ▼
ADVERTISEMENT
Course Feature
Cost:
Free
Provider:
Youtube
Certificate:
Paid Certification
Language:
English
Start Date:
On-Demand
Course Overview
❗The content presented here is sourced directly from Youtube platform. For comprehensive course details, including enrollment information, simply click on the 'Go to class' link on our website.
Updated in [February 21st, 2023]
What does this course tell?
(Please note that the following overview content is from the original platform)
Mathematics vlog.
Systems of linear equations.
Systems of linear equations with infinite and with no solutions.
Elementary row operations.
Matrix addition.
Matrix multiplication.
Introduction to vectors.
Vector addition.
Unit vectors.
Dot product of two vectors.
Vector cross product.
Matrix vector multiplication.
Identity matrices.
Inverse matrices.
Finding the inverse of a 2x2 matrix.
Column view of a matrix.
Elementary matrices.
LU decomposition of matrices.
Transpose of matrices.
Vector spaces and subspaces.
Column space of a matrix.
Spanning a subspace.
Null space of a matrix.
Null space of a matrix example.
Null space examples.
Tutorial on points and vectors in linear algebra.
Tutorial on vector arithmetic in linear algebra.
Example problems on points and vectors in linear algebra.
Introduction to Euclidean vector spaces with Julia.
Tutorial on matrices with help from Julia.
Solving linear systems using elementary row operations with Julia.
Ordinary Least Squares Tutorial using Python.
Gram Schmidt process for QR decomposition using Julia.
What can you get from this course?
We consider the value of this course from multiple aspects, and finally summarize it for you from three aspects: personal skills, career development, and further study:
(Kindly be aware that our content is optimized by AI tools while also undergoing moderation carefully from our editorial staff.)
What skills and knowledge will you acquire during this course?
This course will provide students with the skills and knowledge to understand and work with linear algebra. Students will learn about systems of linear equations, matrix addition, matrix multiplication, vectors, vector addition, unit vectors, dot product of two vectors, vector cross product, matrix vector multiplication, identity matrices, inverse matrices, finding the inverse of a 2x2 matrix, column view of a matrix, elementary matrices, LU decomposition of matrices, transpose of matrices, vector spaces and subspaces, column space of a matrix, spanning a subspace, null space of a matrix, null space of a matrix example, null space examples, points and vectors in linear algebra, vector arithmetic in linear algebra, example problems on points and vectors in linear algebra, introduction to Euclidean vector spaces with Julia, tutorial on matrices with help from Julia, solving linear systems using elementary row operations with Julia, ordinary least squares tutorial using Python, and Gram Schmidt process for QR decomposition using Julia.
How does this course contribute to professional growth?
This course provides a comprehensive introduction to linear algebra, which is a fundamental tool for many professional fields. It covers topics such as systems of linear equations, matrix addition, matrix multiplication, vector addition, dot product of two vectors, vector cross product, matrix vector multiplication, identity matrices, inverse matrices, LU decomposition of matrices, transpose of matrices, vector spaces and subspaces, column space of a matrix, spanning a subspace, null space of a matrix, and more. By learning these topics, professionals can gain a better understanding of linear algebra and its applications, which can help them to better understand and solve problems in their field. This course can thus contribute to professional growth by providing a comprehensive introduction to linear algebra and its applications.
Is this course suitable for preparing further education?
This course provides a comprehensive overview of linear algebra and its applications, making it suitable for preparing further education in the subject.
Course Provider
Provider Youtube's Stats at AZClass
Discussion and Reviews
0.0 (Based on 0 reviews)
Start your review of Introducing linear algebra