Linear Algebra: Final Exam Review

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We review by working the Spring 2022 Final Exam for Linear Algebra.
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Words cannot express my gratitude for all your content on Youtube! I got incredibly depressed this semester and had difficulties attending even a quarter of my classes due to family emergencies, back to back illnesses, and responsibilities. This single video not only explained a lot of the gaps in my understanding but your cheery attitude got me through all of it. I wish I had found your channel sooner but I'm going to definitely be recommending these videos to my schoolmates, our school is infamous for having really smart but terrible teachers for the math department. Gonna refresh on the topics I didn't quite get for my last midterm tomorrow before my final with your in depth lectures! If I pass this class it's all thanks to you, so thank you again!

travelling
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good luck everyone this is my final math class ever and i can’t wait for it to be over tomorrow

BallinTheFrog
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Thank you very much for your videos Dr Hower. I took my final in linear algebra about 2 hours ago and your playlist going over the full course has helped me understand this subject throughout this semester when I thought it was hopeless. Thank you for keeping this information free and available to everyone, as well as making this a fun subject to learn through your videos.

onyxa
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thanks for making so many videos, taking my final exam tommorrow but I feel much more confident going into it because of your videos. Making this knowledge free and accessibile is invaulable so thank you

kassandraperez-rivera
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I really needed this delightfully cheerful breakdown today.

andrewsoviak
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I dont even go to your university, and theres a lot of material we never covered in my class, so this is very insightful! i've used your videos plenty this semester. Thank you for making them public.

amalgamation
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Wow your energy is outmatched. A splendid video. Thanks for your efforts.

CriticPunch
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You have such a no-nonsense method of teaching, which is a lifesaver for some of us that procrastinated instead of studying for the finall. To top it off you have a pretty face too. I wish you were my tutor in university Dr Hower :)

erim
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love your explantions and your energy! you are amazing, thank you!

mrincognito
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Thank you so much you are truly the best tutor ever!!! thank

TaySwift
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Thanks for your effort
You are great

mahmoudlearner
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Not in your course, but I really appreciate the review!

zenderzagato
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5j:
I don't think T((1, 0)) * T((1, 1)) is possible to even perform to begin with.
T has dimensions (2x2).
(1, 0) has dimensions (2x1).
(1, 1) has dimensions (2x1).

T((1, 0)) * T((1, 1))
(2x2)(2x1) * (2x2)(2x1)
(2x1) * (2x1)
The inner numbers (1 and 2) do not match.
This product is impossible to perform.

If we took the TRANSPOSE of T((1, 0)), then the dimensions would work out.

(T(1, 0))^T * T((1, 1))
((2x2)(2x1))^T * (2x2)(2x1)
(2x1)^T * (2x1)
(1x2) * (2x1)
(1x1)
=1

Is there something I am possibly overlooking?

keldonchase
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How about a Linear Algebra II playlist that would cover more topics? Such as

Markov Matrix
Complex / Hermitian Matrix
Positive Definite / Semidefinite
Pseudo inverse

gerardtyson
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Thank you for providing this review. My final is this week and I was wondering if there's any way to have a blank copy of this final that's in the video, so I can take it from what I know already.

abdkhan
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For Q.11(b) can I use x1=[-1, 1] and x2=[1, 1] and arrive at the same result on Q.11(d)?

aptmap
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Thank you! good video!! where is the PDF link to this exam paper?

junyuanwang
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Thank you so much for all these videos ❤️❤️❤️❤️❤️ got an a in linear algebra from all your help💋💋🫶🫶🫰

Maria-znbo