Linear Algebra - Vol 2

Course Overview

What does this course tell?
(Please note that the following overview content is from the original platform)


01 - Transformation Matrices For Scaling (Linear Algebra).
Lesson 2 - Transformation Matrices For Rotation (Linear Algebra).
Lesson 3 - Transformation Matrices For Translation.
Lesson 4 - The Rank Of A Matrix (Linear Algebra).
Lesson 5 - Finding The Determinant Of A Matrix With Row Operations, Part 1 (Linear Algebra).
Lesson 6 - Finding The Determinant Of A Matrix With Row Operations, Part 2 (Linear Algebra).
Lesson 7 - Determinant Of A 3x3 Matrix - Fast Method (Linear Algebra).
Lesson 8 - Find The Cross Product Of Two Vectors With Determinants (Linear Algebra).
Lesson 9 - Cofactors Of A Matrix (Linear Algebra).
Lesson 10 - Finding The Determinant With Cofactors (Linear Algebra).
Lesson 11 - Adjoints And Inverses (Linear Algebra).
Lesson 12 - Important Properties Of Determinants (Linear Algebra).
Lesson 13 - Linear Independence And Basis (Linear Algebra).
Lesson 14 - Motivation For Eigenvalues And Eigenvectors (Linear Algebra).
15 - What are Eigenvalues and Eigenvectors? Learn how to find Eigenvalues..
Lesson 16 - Finding Eigenvalues, Part 1 (Linear Algebra).
Lesson 17 - Finding Eigenvalues, Part 2 (Linear Algebra).
Lesson 18 - Finding Eigenvalues Part 3 (Linear Algebra).
Lesson 19 - Finding Eigenvalues, Part 4 (Linear Algebra).
Lesson 20 - Finding Eigenvectors, Part 1 (Linear Algebra).
Lesson 21 - Finding Eigenvectors, Part 2 (Linear Algebra).


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 apply linear algebra. Students will learn how to use transformation matrices for scaling, rotation, and translation. They will also learn how to calculate the rank of a matrix, find the determinant of a matrix with row operations, calculate the cross product of two vectors with determinants, and find the cofactors of a matrix. Additionally, students will learn about adjoints and inverses, important properties of determinants, linear independence and basis, and the motivation for eigenvalues and eigenvectors. Finally, students will learn how to find eigenvalues and eigenvectors.

How does this course contribute to professional growth?
This course contributes to professional growth by providing a comprehensive overview of linear algebra. It covers topics such as transformation matrices, rank of a matrix, determinants, cross product of two vectors, cofactors, adjoints and inverses, linear independence and basis, eigenvalues and eigenvectors. By mastering these topics, professionals can gain a better understanding of linear algebra and its applications in various fields. This course also provides a solid foundation for further study in mathematics and related disciplines.

Is this course suitable for preparing further education?
This course appears to be suitable for preparing further education, as it covers a range of topics related to linear algebra. The topics covered include transformation matrices, rank of a matrix, determinants, cross product of two vectors, cofactors, adjoints and inverses, linear independence and basis, eigenvalues and eigenvectors. These topics are all important for further education in linear algebra.