# Linear Algebra II: Matrices and Linear Transfo… Review (2026) — 8.5/10 > Independent review of Linear Algebra II: Matrices and Linear Transformations Course on EDX. Rated 8.5/10 by our editorial team. Pros, cons, price, and top al… Physical Science and Engineering Courses Linear Algebra II: Matrices and Linear Transformations Course ![Linear Algebra II: Matrices and Linear Transformations Course](/api/media/file/hero/linear-algebra-ii-matrices-and-linear-transformations-course.jpg?width=800) # Linear Algebra II: Matrices and Linear Transformations Course — Review (8.5/10) This course delivers a rigorous yet accessible review of key linear algebra concepts, ideal for learners refreshing skills or preparing for advanced study. It emphasizes matrices and transformations w... Explore This Course Linear Algebra II: Matrices and Linear Transformations Course is a 6 weeks online intermediate-level course on EDX by Delft University of Technology that covers physical science and engineering. This course delivers a rigorous yet accessible review of key linear algebra concepts, ideal for learners refreshing skills or preparing for advanced study. It emphasizes matrices and transformations with practical applications in STEM fields. While the content is challenging, the structured approach supports deep understanding. The free audit option makes it highly accessible. We rate it 8.5/10. ## Prerequisites Basic familiarity with physical science and engineering fundamentals is recommended. An introductory course or some practical experience will help you get the most value. ## Pros - Comprehensive coverage of core linear algebra topics - High-quality instruction from Delft University of Technology - Free to audit with optional verified certificate - Strong preparation for advanced STEM coursework ## Cons - Limited interactivity in course format - Assumes prior knowledge of basic linear algebra - Pacing may be intense for part-time learners ## Linear Algebra II: Matrices and Linear Transformations Course Review Platform: EDX Instructor: Delft University of Technology Updated Apr 24, 2026·Editorial Standards·How We Rate ## What will you learn in Linear Algebra II: Matrices and Linear Transformations course - Perform algebraic operations on matrices such as matrix multiplication and matrix inversion. - Recognize linear transformations, apply their properties and find the standard matrix. - Find the determinant of a matrix and apply properties of determinants in the context of algebra and geometry. - Find eigenvalues, eigenvectors and eigenspaces of a matrix. - Diagonalize a matrix if possible and perform other similarity transformations. - Apply properties of symmetric matrices. - Find the singular value decomposition of a matrix. ### Program Overview ### Module 1: Matrix Operations and Inversion Duration estimate: 1.5 weeks - Matrix multiplication and addition - Inverse of a matrix and invertibility conditions - Elementary row operations and reduced echelon form ### Module 2: Linear Transformations and Determinants Duration: 1.5 weeks - Definition and properties of linear transformations - Standard matrix representation - Geometric interpretation and determinant computation ### Module 3: Eigenvalues, Eigenvectors, and Diagonalization Duration: 1.5 weeks - Characteristic equation and eigenvalue calculation - Eigenspaces and geometric multiplicity - Matrix diagonalization and similarity transformations ### Module 4: Advanced Matrix Decompositions Duration: 1.5 weeks - Symmetric matrices and spectral theorem - Orthogonal diagonalization - Singular value decomposition (SVD) ### Get certificate #### Job Outlook - Essential for roles in data science, machine learning, and quantitative research. - Valuable for engineering and physics careers requiring advanced mathematical modeling. - Builds foundation for graduate-level STEM programs and research. ## Editorial Take Delft University of Technology's Linear Algebra II: Matrices and Linear Transformations is a focused, intermediate-level course designed to reinforce and deepen understanding of essential linear algebra concepts. Hosted on edX, it serves as both a refresher and a rigorous preparation tool for learners advancing into data science, engineering, and applied mathematics disciplines. ### Standout Strengths - Curricular Rigor: The course covers a full bachelor-level syllabus with precision, ensuring learners engage deeply with matrix operations, determinants, and eigenvalue theory. Its alignment with standard STEM curricula makes it academically credible and practically relevant. - Institutional Authority: Developed by Delft University of Technology, a globally recognized leader in engineering education, the course benefits from academic excellence and clear pedagogical design. The instructors present complex ideas with clarity and structured progression. - Mathematical Foundation for STEM: Mastery of linear transformations and diagonalization directly supports machine learning, computer graphics, and quantum mechanics. This course builds the precise mathematical intuition needed for success in technical fields. - Free Access Model: The ability to audit the course at no cost removes financial barriers, making high-quality STEM education accessible. This is especially valuable for self-learners and students in developing regions. - Singular Value Decomposition Coverage: Including SVD—an advanced but increasingly vital topic in data science—elevates this course beyond typical linear algebra reviews. It prepares learners for real-world applications like dimensionality reduction and recommender systems. - Clear Learning Outcomes: Each module targets specific, measurable skills such as finding eigenvectors or applying matrix inversion. This outcome-driven design helps learners track progress and build confidence systematically. ### Honest Limitations - Limited Interactivity: As a self-paced MOOC, the course offers fewer interactive elements like live feedback or peer discussions. This can reduce engagement for learners who thrive on community or real-time support. - Pacing Challenges: At six weeks with substantial content, the course demands consistent weekly effort. Part-time learners or those balancing work may find it difficult to maintain momentum without disciplined scheduling. - Certificate Cost: While auditing is free, obtaining a verified certificate requires payment. For some, the cost may not justify the credential’s professional value unless required for academic or institutional purposes. ### How to Get the Most Out of It - Study cadence: Dedicate 6–8 hours weekly in consistent blocks to maintain momentum. Linear algebra builds cumulatively, so falling behind can hinder understanding of later topics like diagonalization. - Parallel project: Apply concepts by coding matrix operations in Python or MATLAB. Implementing SVD or eigen-decomposition reinforces theoretical knowledge through hands-on experimentation. - Note-taking: Maintain a structured notebook with definitions, theorems, and worked examples. This aids retention and creates a personalized reference for future STEM coursework. - Community: Join edX discussion forums or external study groups to clarify doubts. Explaining concepts like eigenspaces to peers deepens comprehension and reveals knowledge gaps. - Practice: Complete all problem sets and seek additional exercises from textbooks like Strang’s Introduction to Linear Algebra. Fluency in matrix manipulation comes through repetition. - Consistency: Avoid skipping weeks—even short breaks can disrupt the logical flow. Linear algebra concepts are highly interdependent, so continuity is essential for mastery. ### Supplementary Resources - Book: Pair the course with Gilbert Strang’s Linear Algebra and Learning from Data for deeper insights into applied linear algebra and machine learning connections. - Tool: Use Jupyter Notebooks with NumPy to visualize linear transformations and compute eigenvalues, bridging theory with computational practice. - Follow-up: Enroll in a machine learning or differential equations course to apply these mathematical tools in advanced contexts. - Reference: Keep a digital copy of the course’s formula sheet for quick review of matrix identities, determinant rules, and decomposition theorems. ### Common Pitfalls - Pitfall: Underestimating the need for prerequisite knowledge. Without comfort in vector operations and systems of equations, learners may find the pace overwhelming from the start. - Pitfall: Focusing only on computation without grasping geometric interpretations. Understanding how matrices transform space is crucial for intuition in higher dimensions. - Pitfall: Neglecting proof-based reasoning. While the course emphasizes skills, recognizing why diagonalization works builds deeper mathematical maturity. ### Time & Money ROI - Time: Six weeks of focused study offers strong returns for learners entering STEM fields. The time investment aligns well with the depth of material covered. - Cost-to-value: Free auditing provides exceptional value. Even the paid certificate offers reasonable cost for an accredited credential from a top engineering university. - Certificate: The verified certificate enhances academic or job applications, especially when paired with projects demonstrating applied linear algebra skills. - Alternative: Free YouTube lectures or open textbooks may cover similar content, but lack structured assessment and institutional validation provided by this course. ### Editorial Verdict This course stands out as a high-quality, academically rigorous option for learners seeking to master intermediate linear algebra. Delft University’s reputation for engineering excellence is reflected in the course’s clarity, depth, and practical orientation. The inclusion of advanced topics like singular value decomposition ensures relevance in modern data-driven fields, making it more than just a refresher—it’s a strategic upskilling tool. The free audit model further enhances accessibility, allowing motivated learners worldwide to benefit from top-tier instruction without financial barriers. However, success in this course requires self-discipline and a solid mathematical foundation. It is best suited for those with prior exposure to linear algebra who are preparing for graduate study or technical careers. While the lack of interactivity may limit engagement for some, the structured curriculum and clear learning outcomes compensate through academic rigor. For learners committed to mastering matrices and transformations, this course delivers excellent value and long-term utility. We recommend it highly for STEM students, aspiring data scientists, and engineers seeking to strengthen their mathematical toolkit. ## How Linear Algebra II: Matrices and Linear Transformations Course Compares | Course | Platform | Rating | Level | Duration | | --- | --- | --- | --- | --- | | Linear Algebra II: Matrices and Linear Transformations Course | EDX | 8.5/10 | Intermediate | 6 weeks | | Create Plugin for Automotive Eb Tresos Tool from Zero | Udemy | 9.8/10 | N/A | N/A | | Water Treatment Ultrafiltration Technology Design Using WAVE | Udemy | 9.8/10 | N/A | N/A | | Predictive Maintenance: Vibration, Sensors & Digital Twins Course | Udemy | 9.8/10 | N/A | N/A | ## Who Should Take Linear Algebra II: Matrices and Linear Transformations Course? This course is best suited for learners with foundational knowledge in physical science and engineering and want to deepen their expertise. Working professionals looking to upskill or transition into more specialized roles will find the most value here. The course is offered by Delft University of Technology on EDX, combining institutional credibility with the flexibility of online learning. Upon completion, you will receive a verified certificate that you can add to your LinkedIn profile and resume, signaling your verified skills to potential employers. If you are exploring adjacent fields, you might also consider courses in Agile & Scrum Courses, AI Courses, Arts and Humanities Courses, which complement the skills covered in this course. ### Career Outcomes - Apply physical science and engineering skills to real-world projects and job responsibilities - Advance to mid-level roles requiring physical science and engineering proficiency - Take on more complex projects with confidence - Add a verified certificate credential to your LinkedIn and resume - Continue learning with advanced courses and specializations in the field ## More Physical Science and Engineering Courses on EDX Explore other highly rated courses in physical science and engineering available on EDX to expand your learning path: - MIT: Engineering the Space Shuttle Course 9.8/10 - HarvardX: Energy and Thermodynamics course 9.7/10 - MIT: Circuits and Electronics 1: Basic Circuit Analysis Course 9.6/10 - MIT: Management in Engineering: Strategy and Leadership Course 9.4/10 - MIT: Sustainable Energy Course 9.4/10 - MITx: Thermal-Fluids Engineering 1: Basics of Thermodynamics and Hydrostatics course 9.0/10 - Dartmouth College: The Engineering of Structures Around Us Course 8.6/10 - MITx: Making a Cell Therapy: Principles and Practice of Manufacturing course 8.6/10 - 5G Essentials Course 8.5/10 - 5G Deployment Course 8.5/10 ## Top Alternatives on Other Platforms Looking for a different teaching style or approach? These top-rated physical science and engineering courses from other platforms cover similar ground: - Create Plugin for Automotive Eb Tresos Tool from Zero 9.8/10 Udemy - Water Treatment Ultrafiltration Technology Design Using WAVE 9.8/10 Udemy - Predictive Maintenance: Vibration, Sensors & Digital Twins Course 9.8/10 Udemy - Build Your Own Guitar Course 9.8/10 Udemy - Plant Bioinformatic Methods Specialization Course 9.8/10 Coursera - Introduction to Thermodynamics: Transferring Energy from Here to There Course 9.8/10 Coursera - Applied Computational Fluid Dynamics Course 9.7/10 Coursera - Agroforestry I: Principles and Practices Course 9.7/10 Coursera - Mastering bitumen for better roads and innovative applications Course 9.7/10 Coursera - Interfacing with the Raspberry Pi Course 9.7/10 Coursera ## More Courses from Delft University of Technology Delft University of Technology offers a range of courses across multiple disciplines. If you enjoy their teaching approach, consider these additional offerings: - AI Skills: Introduction to Unsupervised, Deep and Reinforcement Learning 8.5/10 - How to Design a Successful Business Model Course 8.5/10 - AI Skills for Engineers: Supervised Machine Learning Course 8.5/10 - Business Model Implementation Course 8.5/10 - AI Skills for Engineers: Data Engineering and Data Pipelines Course 8.5/10 - Business Model Testing Course 8.5/10 - AI in Practice: Preparing for AI Course 8.5/10 - Fundamentals of Quantum Information Course 8.5/10 View all courses from Delft University of Technology → ## Related Articles & Guides Deepen your understanding with these articles from our editorial team, covering career advice, industry trends, and learning strategies: - Build AI skills with the Google AI Professional Certificate - Python Tutorial: Best Courses to Learn Python in 2026 - CISSP vs CompTIA Security+: Which Cert Should You Pursue? - Coursera Data Analytics Professional Certificate: Worth It in 2026? - Best edX Courses in 2026: Top Picks by Enrollment and Career Value - Best Online Coursera Courses in 2026: What's Actually Worth Your Time - Udemy Online: What the Platform Actually Delivers in 2026 - OKR for Leaders: 7 Best Training Courses Compared (2026) - Generative AI for Marketing with Microsoft 365 Copilot: Professional Certificate Review - The Best React Courses in 2026, Ranked and Reviewed ## Explore All Course Categories Not sure what to learn next? 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Be the first to share your experience! ## FAQs What are the prerequisites for Linear Algebra II: Matrices and Linear Transformations Course? A basic understanding of Physical Science and Engineering fundamentals is recommended before enrolling in Linear Algebra II: Matrices and Linear Transformations Course. Learners who have completed an introductory course or have some practical experience will get the most value. The course builds on foundational concepts and introduces more advanced techniques and real-world applications. Does Linear Algebra II: Matrices and Linear Transformations Course offer a certificate upon completion? Yes, upon successful completion you receive a verified certificate from Delft University of Technology. This credential can be added to your LinkedIn profile and resume, demonstrating verified skills to employers. In competitive job markets, having a recognized certificate in Physical Science and Engineering can help differentiate your application and signal your commitment to professional development. How long does it take to complete Linear Algebra II: Matrices and Linear Transformations Course? The course takes approximately 6 weeks to complete. It is offered as a free to audit course on EDX, which means you can learn at your own pace and fit it around your schedule. The content is delivered in English and includes a mix of instructional material, practical exercises, and assessments to reinforce your understanding. Most learners find that dedicating a few hours per week allows them to complete the course comfortably. What are the main strengths and limitations of Linear Algebra II: Matrices and Linear Transformations Course? Linear Algebra II: Matrices and Linear Transformations Course is rated 8.5/10 on our platform. Key strengths include: comprehensive coverage of core linear algebra topics; high-quality instruction from delft university of technology; free to audit with optional verified certificate. Some limitations to consider: limited interactivity in course format; assumes prior knowledge of basic linear algebra. Overall, it provides a strong learning experience for anyone looking to build skills in Physical Science and Engineering. How will Linear Algebra II: Matrices and Linear Transformations Course help my career? Completing Linear Algebra II: Matrices and Linear Transformations Course equips you with practical Physical Science and Engineering skills that employers actively seek. The course is developed by Delft University of Technology, whose name carries weight in the industry. The skills covered are applicable to roles across multiple industries, from technology companies to consulting firms and startups. Whether you are looking to transition into a new role, earn a promotion in your current position, or simply broaden your professional skillset, the knowledge gained from this course provides a tangible competitive advantage in the job market. Where can I take Linear Algebra II: Matrices and Linear Transformations Course and how do I access it? Linear Algebra II: Matrices and Linear Transformations Course is available on EDX, one of the leading online learning platforms. You can access the course material from any device with an internet connection — desktop, tablet, or mobile. The course is free to audit, giving you the flexibility to learn at a pace that suits your schedule. All you need is to create an account on EDX and enroll in the course to get started. How does Linear Algebra II: Matrices and Linear Transformations Course compare to other Physical Science and Engineering courses? Linear Algebra II: Matrices and Linear Transformations Course is rated 8.5/10 on our platform, placing it among the top-rated physical science and engineering courses. Its standout strengths — comprehensive coverage of core linear algebra topics — set it apart from alternatives. What differentiates each course is its teaching approach, depth of coverage, and the credentials of the instructor or institution behind it. We recommend comparing the syllabus, student reviews, and certificate value before deciding. What language is Linear Algebra II: Matrices and Linear Transformations Course taught in? Linear Algebra II: Matrices and Linear Transformations Course is taught in English. Many online courses on EDX also offer auto-generated subtitles or community-contributed translations in other languages, making the content accessible to non-native speakers. The course material is designed to be clear and accessible regardless of your language background, with visual aids and practical demonstrations supplementing the spoken instruction. Is Linear Algebra II: Matrices and Linear Transformations Course kept up to date? Online courses on EDX are periodically updated by their instructors to reflect industry changes and new best practices. Delft University of Technology has a track record of maintaining their course content to stay relevant. We recommend checking the "last updated" date on the enrollment page. Our own review was last verified recently, and we re-evaluate courses when significant updates are made to ensure our rating remains accurate. Can I take Linear Algebra II: Matrices and Linear Transformations Course as part of a team or organization? Yes, EDX offers team and enterprise plans that allow organizations to enroll multiple employees in courses like Linear Algebra II: Matrices and Linear Transformations Course. Team plans often include progress tracking, dedicated support, and volume discounts. This makes it an effective option for corporate training programs, upskilling initiatives, or academic cohorts looking to build physical science and engineering capabilities across a group. What will I be able to do after completing Linear Algebra II: Matrices and Linear Transformations Course? After completing Linear Algebra II: Matrices and Linear Transformations Course, you will have practical skills in physical science and engineering that you can apply to real projects and job responsibilities. You will be equipped to tackle complex, real-world challenges and lead projects in this domain. 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