Linear Algebra: Final Exam Review

[@KM-fv8gn]

im so cooked

[@Joe-lc6or]

real

[@joeyjohnsonson4341]

im so cooked

[@meowmix514]

factual statement

[@wolfgang5496]

im so cooked

[@naderrawashdy6887]

How did you do bro? Hope ur not cooked

[@BallinTheFrog]

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

[@AwedJR]

How lucky you are, and I'm about to confuse this entire semester which is full off linear algebra 😭😭

[@travelling2788]

Words cannot express my gratitude for all your content on KZbin! 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!

[@DrValerieHower]

Thank you so much for the kind words. It sounds like you had a lot going on this semester, and I know that can make academics so much more difficult. I send you my well wishes and good luck with your final!

[@onyxa3144]

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.

[@DrValerieHower]

Wow! Thank you so much for your kind words. I hope your final exam went well :). Best wishes to you!

[@kassandraperez-rivera5753]

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

[@DrValerieHower]

You are welcome! Thanks so much for the feedback and good luck on your final exam!!

[@amalgamation1637]

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.

[@DrValerieHower]

This is wonderful to hear! You are welcome. I really appreciate the comment.

[@erim6035]

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 :)

[@DrValerieHower]

Thank you so much for your kind words.

[@CriticPunch]

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

[@DrValerieHower]

You are welcome. Thank you so much for the kind words!

[@andrewsoviak7972]

I really needed this delightfully cheerful breakdown today.

[@DrValerieHower]

Thank you so much for your comment and kind words!

[@mrincognito2371]

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

[@DrValerieHower]

You are welcome. Thanks so much for the kind words!

[@abdkhan033]

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.

[@DrValerieHower]

Here you go! drive.google.com/file/d/14NBTn2QUIwoSNVHTr9kzu1m90oHOwTLU/view?usp=sharing

[@abdkhan033]

​@@DrValerieHower Thank you so much professor. I was afraid that you wouldn't have time to return back to this so quickly. I appreciate it!

[@DrValerieHower]

You are welcome!

[@mahmoudlearner1898]

Thanks for your effort You are great

[@DrValerieHower]

You are welcome! I appreciate the feedback.

[@TaySwift332]

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

[@DrValerieHower]

You are welcome. Thank you so much for your kind words :)

[@junyuanwang3692]

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

[@DrValerieHower]

It is here. drive.google.com/file/d/14NBTn2QUIwoSNVHTr9kzu1m90oHOwTLU/view?usp=sharing let me also add it to the description

[@zenderzagato8174]

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

[@DrValerieHower]

Thank you for the feedback. I am happy to hear this. Best wishes to you.

[@jojo_099-4]

can someone please answer my question i have final tomorrow's morning, so how can we know that this is a free variable?

[@yash0510]

your videos are amazing, thank you!

[@DrValerieHower]

You are welcome! Thanks so much for the comment :)

[@aptmap5181]

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

[@DrValerieHower]

You can label the x's however you'd like in B. What matters is when you get to D, that the columns in each matrix go in the correct order.

[@gerardtyson2274]

How about a Linear Algebra II playlist that would cover more topics? Such as Markov Matrix Complex / Hermitian Matrix Positive Definite / Semidefinite Pseudo inverse

[@itismeanttobe]

you helped me pass my exam thankss

[@DrValerieHower]

Many congrats!!! and you are welcome! I appreciate you letting me know :)

[@AG-mb5cq]

wish me luck I got my finals in an hour

[@DrValerieHower]

I hope your final exam is going well. Sending you positive thoughts as you may be taking it now!!

[@keldonchase4492]

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?

[@DrValerieHower]

Hi. This True False is a statement about two vectors being perpendicular. It is testing the topic of orthogonal transformations. What we show during the semester is: If v and w are two vectors in R^n And T:R^n to R^n is an orthogonal transformation. then the dot product of v and w equals the dot product of T(v) and T(w). I have a dot here for dot product of two vectors. As we use the dot product in the definition of perpendicular. I hope this clarifies. t hank you so much..

[@keldonchase4492]

@@DrValerieHower Oh my gosh, I am so clumsy. I interpreted the dot as a multiplication instead of a Dot Product. The computation makes perfect sense now. Thank you so much!! :)

[@DrValerieHower]

You are welcome! Not a problem at all. Your response was absolutely correct regarding matrix product. I was just using dot product. :)

[@sweend3150]

Thank you

[@DrValerieHower]

You are welcome!

[@ThaoNguyen-mh2rc]

thank you

[@DrValerieHower]

You are welcome!!

[@naveenrawat852]

Kya hai yea mam

[@sofiads9854]

this is saving my life

[@Maria-zn6bo]

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

[@DrValerieHower]

Wow! Congrats on the A. that is fantastic!!!