In this video we work a machine learning math problem: find the principle components of a small dataset. This requires an understanding of covariance matrices, eigenvalues and eigenvectors from linear algebra.

Linear Algebra

Hello there! My name is Colin, and I have nine years of experience tutoring math and science. I am a PhD candidate in the UC Berkeley-UC San Francisco joint bioengineering program. My strong background in STEM qualifies me to tutor math and science up through lower-division college courses. Aside from my academic qualifications, I believe that it is my genuine passion for math and science that makes me an effective tutor for students of all learning styles.  

As a tutor, my goal is not to impress students with how much I know. Rather, my goal is to show my students how easily math and science concepts can come to them when they are presented the material in a straightforward way. The late physicist, Richard Feynman, posited that the ability to explain complicated ideas in a simple manner is the true mark of understanding. I agree with this assertion, and I make it my goal each tutoring session to explain even the most complex phenomena in a simple way, so that my student will come away from the lesson with confidence that they grasped the information. Additionally, I emphasize a strong understanding of the fundamentals because both math and science are heavily inductive disciplines; many of the theorems and laws are founded on other, more fundamental principles. I have personally experienced the discouragement of trying to learn material that is beyond my level of preparedness, and so I can empathize with students who are in that boat. Fortunately, I have learned that the remedy is always a return to, and a strengthening of, the basics. That is the approach I take with students who find themselves struggling in a course. 

My online teaching platform is a “black board” drawing program that my students can follow along with as I explain concepts and solve problems. I simply share my screen with them during the session and at the end I take a screenshot of the notes and email it to my students for their reference. I hope this brief explanation of my qualifications and teaching style has provided a clear image of what you can expect from me as your tutor. I am eager to hear from you and help you succeed in your academic goals!

Principle Component Analysis by Hand

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He took it slow and I could easily understand the things he was teaching. 

He completely reshaped my approach to learning math and studying for exams. He was also very patient when teaching any previous subjects that  might be problematic when implemented into higher math classes. I can't recommend him enough!

My daughter learned things that her teacher did not teach which was extremely useful.  Although it was only the first session, she rates Mr Johnny five stars.  We will schedule more sessions with him!

With over 15 years of experience teaching Linear Algebra, I have the ability to make it easy to understand. I am known in my area for assisting students who are taking Linear Algebra at the University level; I even developed my own lecture notes and practice problems designed to supplement the student's existing material.

Let me teach you Linear Algebra the easy way. I can adapt to any learning style, assist with homework problems or help review for upcoming quizzes/exams.

Former owner of a learning center, but recently returned to school to finish a Ph. D. in Mathematics. Have over 15 years experience teaching upper level math/science, including:

- Algebra I/II
- Geometry
- Precalculus
- Calculus AP/I/II/III/IV
- IB Math SL/HL
- Differential Equations
- Linear Algebra
- Physics AP/I/II
- Chemistry

I specialize in reteaching concepts that students are having trouble with; then, I integrate examples from common textbooks and IB/AP exams.

I also enjoy helping students prepare for competitions, such as:

- AMC 8/10/12
- Purple Comet
- Putnam

I have the ability to adapt my teaching style to any student to ensure they feel confident with the topics, and encourage feedback so that we can tackle any trouble spots.

The lesson was excellent and really helped a lot.  I did much better on the exam the next day than i would have.  

I have been working with Colin for the past two semesters as a sophomore in college. He has helped me with both my 1st and 2nd physics courses, both of which I have received an 'A' letter grade in. Colin is super helpful at answering any questions you might have and if you are struggling with understanding a concept he will try to find new and helpful descriptions until you are able to understand it! There were several times throughout this past year that I was struggling with a specific homework problem or concept and he would go over our lesson time or send me an in-depth video recording of him answering my question/explaining an example to help me succeed. I'm forever grateful!


Extremely happy with Colin as he helped our son for his test-out. He has a clear understanding of the subject matter and a very effective way of explaining it. We will continue using his expertise for duration of my son's schooling and when ever he needs help.

Five stars and 2 thumbs up!

Linear algebra takes a big leap into the abstract, and this can be a bit challenging after spending years doing analytical geometry. I once had a professor tell me that linear algebra didn't really have application to the real world, and that it didn't need to, because it was beautiful in and of itself. That's a nice sentiment, but it's not true, actually. Linear algebra is at the heart of many machine learning models, engineering and the sciences. I can help you form a solid understanding of linear algebra so that you can stay competitive in these fields.

Made my son feel comfortable and confident during his first lesson! 
He said was ready for another lesson!

Dawn was amazing with my son and getting him through his year long AP Calculus class.  She was very flexible and willing to accommodate our very busy schedule.  I have no doubt that her help is the reason he not only passed his exams, but did well on them!

Phenomenal instructor! Made my 6-week Calc II course much more bearable and overall easier to understand. She happily goes at your own pace. Dr. Dawn is perfect as your teacher for all your math related needs. Strongly recommend!

Students can expect to learn skills and develop proficiency in linear equations, matrices and determinants, vector spaces, inner product spaces, linear transformations, eigenvalues, and eigenvectors.

I have been teaching mathematics at all levels since earning my Bachelor of Science Degree from Bucknell University in 1987. I am a lover of mathematics and I bring mathematics to life in a way which is understandable and enjoyable for you (or your child).  I make mathematics applicable to everyday life and I utilize techniques that promote learning and skill development.  
I enjoy working with K-12 students on number sense, integer operations, order of operations, fractions, percent, real numbers, algebra, solving equations, geometry and spatial sense, measurement, proportions, probability and data analysis.
I specialize in Algebra, Trigonometry, Precalculus, Calculus, Ordinary Differential Equations, Partial Differential Equations, Linear Algebra, Abstract Algebra  Numerical Analysis, and Advanced Calculus,  and my expertise extends into graduate level courses.

William is really easy to communicate with and he takes the time to explain problems thoroughly!

My daughter really appreciated how he explained the concepts and information.

Hello, welcome to my profile! My name is William and I got my bachelor's degree in from University of Southern California in mathematics in 2022. Since Fall 2023 I've been be a PhD Student in Applied Mathematics at UCLA.

I've attended numerous research programs over the summer, as well as received numerous paid research fellowships. As a result, I've published numerous papers in both mathematics and computer science conferences. For more about my academic background, please feel free to visit my website here: williamc.me (which includes my CV at the top). A short summary of my employment history and teaching experience is as follows

- UCLA Olga Radko Endowed Math Circle September 2023 - Present
- Northrop Grumman System Engineer May 2022 - September 2022
- USC Math Center Tutor September 2019 - December 2020

I'm willing to tutor students at any level for any goals they might have. Please reach out to me to see how I can help you!

My son loved his teacher and we can't wait to continue with the lessons. Very helpful!

My daughter says she had a great first session and was able to takeaway some skills from the lesson. Looking forward to continuing to work with Taliyah!

My 15 year old son's first geometry session with Taliyah went very well. He felt comfortable and supported and we have added additional weekly sessions to the schedule as a result. Thank you!

Math has always been one of my strong suits in school! I have gone all the way through Calculus. I have a few years of tutoring experience, and am on my way to obtaining my teaching license. I am a patient, determined, and dedicated teacher, and I want all of my students to achieve their greatest!

As a former third grade teacher and Music Education major, teaching is obviously very important to me and a great passion of mine. I believe every student can learn, and I approach topics differently based on a student’s learning style.
I have a strong work ethic, good teamwork skills, and passion for service to others. I am a very detail-oriented person when it comes to completing tasks—I like things to be done correctly and efficiently. I enjoy putting in the extra effort to make sure my work goes above and beyond because I know that it affects the people around me. Teamwork is so important in a career, and I enjoy how much more effective people can be when we work together. I am very enthusiastic about being able to continue making a difference in people’s lives. I am currently working towards my Music Education degree in order to be a band director.

Sara’s tutoring has been an enormous gift for our high school senior. He was struggling with understanding his physics teacher, and Sara was able to keep him caught up in just 30-45 minutes a week! She also helped with calculus when he was struggling and his grades went from a 33 on a test to a 97! Sara is always professional, encouraging, and kind. I hope our son will be able to work with her as he continues through his astrophysics major in college. Thank you Sara! We are so grateful for your wisdom and the skill with which you share it! 

Sara is a knowledgeable, kind, and patient tutor. She assisted our daughter in grade nine math honors (Pasadena Unified) and ideally will be helping her in her future classes. Sara’s rates are also super reasonable and is vey cognizant and not wasteful of hers or students time. Most importantly our daughter is more confident in the material and math overall which has led to not only significantly higher grades but lower anxiety and more confidence in the classroom setting.

she got the answers wrong i felt like  was the  teacher also she pay's way To much 15mins for 19$ This is'nt albert einstei #dont buy#

Experienced tutor of over five years, having taught students of a variety of backgrounds and skill levels ranging from tutoring middle and high school students in algebra to college undergraduates in linear algebra.

I am a Princeton graduate with a degree in physics and a current Caltech PhD candidate in Materials Science. I aced the SAT and ACT in high school, got a near-perfect score on the GRE, and have achieved high grades across various challenging high school and college classes. My subject-matter expertise and wide range of tutoring experience, including with international students, illustrates my ability to adapt to different student needs. I look forward to working with you to help you achieve your educational goals.

I am a Princeton graduate with a degree in physics and a Caltech PhD candidate in materials science who conducts research on solar energy-related devices. 

I have several years of tutoring experience working with students of a variety of ages, skills, and backgrounds, in subjects ranging from algebra to Python to solid-state physics as both a volunteer and a paid tutor. I have also taught international students, so I can work with students for whom English is a second language. I speak Hindi and French in addition to English. I look forward to working with you!

I have applied linear algebra to practical problems in physics, evolutionary biology, machine learning and quantitative finance, so I can help you do something similar.  I currently teach NYU Tandon students how to do linear algebra on a computer, so I can help you with that, as well.

Yes, I have a PhD (from NYU's Courant Institute), a publication list, and years of experience in both industry and academia, but what matters is why NYU Tandon hired me:  I can take you from the basics to any of the above.  

Often, an hour isn't quite enough; hence the discount for 90 minutes.




After post-docs in mathematical biology with MacArthur Prize winner Stuart Kauffman and with Nobel Laureate Manfred Eigen, Ed joined HSBC’s interest rate derivatives desk, where he helped devise profitable trading strategies and improved the marking-to-market of interest rate sensitive deals. Moving on to Deutsche Bank, Ed managed several risk technology projects, using his own knowledge of risk to design the systems.  As a result of Ed’s contributions to the Education Committee of the Global Association for Risk Professionals (GARP), he was invited to his current position on the faculty of NYU Tandon’s Department of Risk and Financial Engineering, where he has both taught and supervised 4 master’s theses.

Currently living on Manhattan's Upper West Side, Ed has consulted for the New York Clearing House, a boutique CBO issuer, and three hedge funds, and privately tutored over 50 students in everything from high school algebra to corporate finance to advanced option theory.

I've tutored Linear Algebra for students at Columbia, Vassar, GaTech, and more.  I've taught topics including matrix operations, abstract vector spaces, projection and orthonormal matrices, spanning, linear independence, bases, LU decomposition, QR decomposition, Gram-Schmidt, eigenvalues and eigenvectors, diagonalization, quadratic forms, and singular value decomposition.  

Hi, I'm Adam! I'm a graduate of Columbia University and I've been a teaching assistant and tutor for about 10 years.  

Professional tutor in higher education with over 10 years of experience. I work with students in a variety of business and mathematics subjects, including Linear Algebra. I have a B.S. in Business Administration with a specialization in Accounting, an M.S. in Accounting and Business Advisory, and certificates in Forensic Accounting and Internal Auditing. Working as an adjunct professor allows me to have first-hand knowledge of how courses are laid out and what expectations your professors have. In addition to my in-class experience, I work full-time as a Business Manager which allows me to bring real-world examples into my lessons with students. 

Hi, my name is Jen and I am a full-time accountant and part-time professor who loves to work individually with students to help them succeed in their courses. My motto is that learning is "Mind Over Matter". I like to start with understanding what a student currently knows to build up their confidence and establish a base. Through the use of questioning techniques, students will actively be involved in their learning by providing responses to prompts as we walk through lessons personalized to students' individual needs. In lessons, I use real-life examples and applications to help students relate more to the materials. At the end of each lesson, I ask the student to summarize what we covered to test their understanding and continue to build up confidence focusing on the positive!

I currently teach part-time as a professor in higher ed at an R1 research institute. I have privately tutored students for over 10 years in subjects such as Algebra, Pre-Calculus, Calculus, Statistics, Financial Accounting, Managerial Accounting, Finance, Microeconomics, and Macroeconomics. Having my B.A. in Business Administration and Accounting, M.S. in Accounting and Business Advisory, and certificates in Forensic Accounting and Internal Auditing, allows me to have the knowledge and experience necessary to work with higher ed and high school students. Working as a full-time accountant allows me to use real-life industry examples for student applications.

I’ve been teaching one-on-one Linear Algebra lessons for over 12 years. After a short conversation and an overview of what you’d like to work on, I’ll meet you at your current level of understanding and bring you up to speed fast, and make the material feel simple, without sacrificing depth of understanding. You will wonder why your teacher never explained it this way!

Welcome! I'm Tom, a passionate math tutor with 12+ years of experience. With a math degree from UCLA, I tutor K-12, undergrad, and select graduate topics. My teaching style blends clarity and depth, ensuring conceptual understanding. I make lessons conversational, aiming to build independence in students. Let's conquer math together!

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Some of my best friends are vector spaces --- and I'd be happy to introduce you!

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Linear Algebra help from UCLA math graduate with 12+ years tutoring experience

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Dr. Dawn has been amazing with my daughter. Other local tutors were intimidated by the subject material but Dr. Dawn took my daughter’s assignments in stride. Her command of the subject and her abilit

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