Advanced Linear Algebra: Matrix Theory
This course is part of Mastering Linear Algebra.
Strengthen your mathematical foundation with this comprehensive review of bachelor-level linear algebra. Master key concepts including matrix operations, linear transformations, determinants, eigenvalues, and singular value decomposition. This self-paced course provides extensive practice through the Grasple platform, offering immediate feedback and personalized learning. Ideal for engineering professionals and graduate students needing to refresh their linear algebra knowledge for advanced applications.
3.2
(5 ratings)
Instructors:
English
Arabic, German, English, 9 more
Powered by
What you'll learn
Master matrix algebra including multiplication and inversion techniques
Understand and apply linear transformation properties
Calculate determinants and their geometric applications
Compute eigenvalues, eigenvectors, and eigenspaces
Perform matrix diagonalization and similarity transformations
Apply singular value decomposition techniques
Skills you'll gain
This course includes:
PreRecorded video
Graded assignments, exams
Access on Mobile, Tablet, Desktop
Limited Access access
Shareable certificate
Closed caption
Get a Completion Certificate
Share your certificate with prospective employers and your professional network on LinkedIn.
Created by
Provided by
Top companies offer this course to their employees
Top companies provide this course to enhance their employees' skills, ensuring they excel in handling complex projects and drive organizational success.
There are 6 modules in this course
This course provides a comprehensive review of advanced linear algebra concepts essential for engineering and scientific applications. Students explore matrix operations, linear transformations, determinants, eigenvalues, and singular value decomposition. The curriculum emphasizes practical applications in areas such as computer graphics, systems control, machine learning, and quantum computing. The course features interactive exercises through the Grasple platform for enhanced learning.
Matrix Operations
Module 1
Linear Transformations
Module 2
Determinants
Module 3
Eigenvalues and Eigenvectors
Module 4
Diagonalization
Module 5
Symmetric Matrices and SVD
Module 6
Fee Structure
Individual course purchase is not available - to enroll in this course with a certificate, you need to purchase the complete Professional Certificate Course. For enrollment and detailed fee structure, visit the following: Mastering Linear Algebra
Instructors
3 Courses
Mathematical Physicist and Engineering Mathematics Instructor at TU Delft
Dr. Niek de Kleijn is a mathematical physicist and educator currently teaching at Delft University of Technology (TU Delft). He holds a PhD from the University of Copenhagen, where his research focused on non-commutative geometry, particularly symmetries in deformation quantization. This background in advanced mathematical physics provides him with a deep understanding of complex mathematical concepts. At TU Delft, de Kleijn applies his expertise to teaching bachelor-level mathematics courses, including calculus, linear algebra, and probability and statistics. His teaching is exclusively within engineering faculties, indicating a focus on practical applications of mathematics in engineering contexts. De Kleijn's transition from theoretical research to applied mathematics education demonstrates his ability to bridge the gap between advanced mathematical concepts and their practical applications in engineering fields. His role at TU Delft involves preparing future engineers with a solid foundation in mathematics, essential for their technical education and future careers.
3 Courses
Mathematics Lecturer and Differential Equations Expert at TU Delft
Dr. Willem Schouten-Straatman is a dedicated lecturer at Delft University of Technology (TU Delft), specializing in teaching fundamental mathematics courses to undergraduate engineering students. With a PhD from Leiden University focused on a unique type of differential equation combining discrete spatial variables with continuous temporal variables, Schouten-Straatman brings advanced mathematical expertise to his teaching role. His academic journey, which began with a Bachelor's in mathematics and physics, sparked an early passion for education that has shaped his career. At TU Delft, he primarily teaches Bachelor-level courses in linear algebra, calculus, and differential equations, playing a crucial role in building the mathematical foundation for future engineers. Schouten-Straatman's research background in complex differential equations, evidenced by his publications on topics like exponential dichotomies for nonlocal differential operators and traveling wave solutions for discrete equations, enriches his teaching approach. His transition from theoretical research to applied mathematics education demonstrates his commitment to bridging advanced mathematical concepts with practical applications in engineering fields.
Testimonials
Testimonials and success stories are a testament to the quality of this program and its impact on your career and learning journey. Be the first to help others make an informed decision by sharing your review of the course.
Frequently asked questions
Below are some of the most commonly asked questions about this course. We aim to provide clear and concise answers to help you better understand the course content, structure, and any other relevant information. If you have any additional questions or if your question is not listed here, please don't hesitate to reach out to our support team for further assistance.