Linear Algebra 6.5.1 Least Squares Problems

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Thank you so much for doing this series! You really do deserve more credit. These videos have allowed me learn Linear Algebra throughout this quarantine!

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I'm a 44 year old stay-at-home dad and a college junior. Your Linear Algebra and Discrete Math playlists have been a lifesaver. Thank you for all the good work you do and thank you for sharing it with us!

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coming in clutch hours before my final, i've been using your videos since youre discrete math videos. thank you!

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I usually don't leave comments on youtube videos, but I just wanted to thank you for these amazing videos. I was not a fan of how my college professor was teaching Linear Algebra, and my grades were suffering as a result. I quickly turned to youtube for help. Upon finding this playlist, I began skipping lecture and watching your videos instead. Let's just say I made the correct decision. I am currently sitting at a 93% in the class with only a final quiz, homework, and exam to go! Thank you so much!

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Thank you so much for these videos. You have been a huge help to 31, 000 people so far with many more to come. Youve certainly been one of the only reasons my grade and understanding of this course is where it is now and I can't thank you enough making this free for everyone.

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You are the linear algebra youtube goat. You use simple language, pre-pare slides so we dont just sit there watching you write stuff, you show all work and speak clearly and explain reasoning without becoming too theoretical and abstract. Everything i wrote is what my professor does and makes learning from his videos so difficult. Thank you for teaching this way and for helping me

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I just can't say how grateful I am, Kimberly! I loved your course from the beginning to the end. I loved your teaching and your subtle humor. It was such an amazing time. Thank you very much for this. I hope you can reach more people! You are the best! Keep on being amazing! Now, I'm going to your calculus and I am already confident that I will get so much knowledge!!!! Thank you so much! Stay blessed! <333

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Thank you, Prof Brehm for explaining Linear Algebra so well. I've watched so many other youtubers, but you were the one that got through to me.
Greetings from South Africa.

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Watched every video in the playlist for my summer linear algebra class. The prerecorded college lectures were in 240p with a bad microphone. Thanks so much, you saved my butt in this class (and discrete math)

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Thanks Kimberly! You are a great teacher I consider myself lucky to have found your YouTube channel.

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Thank you! I have been coming to these videos whenever I have a hard time wrapping my head around what the book is saying. It's nice to have a replay of what we went over in lecture. Much help during my review :)).

nickyggoodman
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For the last practice problem at 16:35, I got a slightly different answer for step 4. I got -5 instead of 5. I'd show my row operations but it doesn't seem I'm able to put in a pic in comments and writing it out like I did below is too cumbersome. Hope this helps others.
RREF:
1 0 0 1 3
0 1 0 -1 -5
0 0 1 -1 -2
0 0 0 0 0

angelasmith
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You saved my college GPA! I'm definitely gonna show this playlist to all of my friends who are going to be doing linear algebra, thank you so much!

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Truly truly thank you Ms. Brehm for this playlist. You are such a great teacher. Hoping I do well on my final tomorrow!!

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Thank you for this I know im 4 years late but im still thankful

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Thanks for the course. I recently just learned about the linear regression algorithm and its basically what you've been teaching in this last unit. Taking a vector and trying to split it in two orthogonal vectors

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Thank you Prof Brehm. What a great journey!

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Dr. Brehm, THANK YOU so much for this video series! When I started this semester with the pandemic going on, I had no clue of what was going on in Linear Algebra since my professor made his lectures confusing and much more difficult than they needed to be. Fortunately my lectures followed the same six chapters that you covered in your course, so I was able to follow alongside with you! After studying and working hard on my HW, exams, and quizzes, taking notes from your videos, and going back when I got stuck, I'm happy to say I got an A in the course :) Again, thank you for posting this video series and I hope you continue to help many people by posting more math videos!

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Thank you so much for making this series! Using it as a crash course before my exam!!

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Just passed my linear class with a very high A because of your videos. Thank you so much for what you do!

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