Linear Algebra Final Review (Part 1) || Transformations, Matrix Inverse, Cramer's Rule, Determinants

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Studying for a Linear Algebra final? Stressed out? Don't worry because now I have a Linear Algebra Final Review video too!

In Part 1 we will be doing problems on Linear Transformations and making sure you understand what a Linear Transformation actually does, and what things like onto, one to one, and "in the image" or "the image of" mean. We will also do problems on the inverse of a matrix, if a matrix is invertible, finding determinants through cofactor expansion, upper triangular properties, and row reduction. Lastly, we will end with solving for a vector via Cramer's Rule.

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[LudusYT]

Donations really help me get by. If you'd like to donate, I have links below!!!
Venmo: @Ludus12
PayPal: paypal.me/ludus12
Patreon: patreon.com/ludus1

[LumiRev]

Just going to comment the timestamps for everyone else!

2:41 Linear Transformations
17:05 Matrix of a Linear Transformation
31:00 Matrix Operations
36:55 Inverse of a Matrix
54:56 Invertible Matrix Theorem (IMT)
59:40 Finding Determinants
1:07:27 Properties of Determinants
1:16:30 Cramer's Rule

[vnipkpj]

Thanks to you, I passed my linear algebra course despite failing both midterms. This was 2 years a go but I wanted to come by and say thank you a million times for assisting me pass the class. Without your help I would've failed. And even though youre not making videos your old ones still assist all of us.

[becktronics]

Dude you are awesome, throughout the semester I despised linear algebra, but grew to love it with time. I had a super shaky foundation and after watching all three of your review videos I actually feel confident with the concepts... I feel like many people who try to teach linear algebra dance around the actual point of the ideas!! I hope I pass tomorrow. My class was brutal throughout, and despite high B's on 2 exams, getting an F on the first one left me barely clinging onto a C in the class.

[Burpeekanksss]

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[xtxhtux]

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[benhorse]

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[DianaDiana-ylyt]

I can do calc in my sleep but linear algebra? Not so much. These videos have made me feel a helluva lot better.

Bless your smartypants soul! I might end up actually actually passing this exam.

[hy]

56:40 You can also do the determinants to check to see if it is invertible since det a ≠ 0 if its equals to zero that means its not invertible! :)

[wyatttempleton]

if i pass this class because of you ill definitely be donating....

[muhammedsungursahin]

I love how high quality this is. Thanks man, this is gonna help for my midterms a lot.

[David-cxfc]

This is saving my life for a job interview later this week! Took this class a few year ago, so this is a great refresher. Thanks for the awesome content, you explain things so well!

[ryanjacksonx]

For #2, the reason that x is in two dimensions isn't that we're lacking a pivot, it's because the size of the input to a 3x2 matrix has to be 2 dimensions.

[Armand__]

bruh linear algebra concepts seem harder than they actually are.

[salenale]

Cramming this all in for my linear algebra final next Tuesday! Thank you for the videos :)

[m]

Severely underrated channel. Thank you.

[jaggysmf]

this man helped me pass calc 3 and is now going to help me pass linear algebra. i cant thank you enough. if i had the monies id donate some

[bhavayashah]

I cannot thank you enough for these videos! My final is tomorrow and these videos have cleared up a lot of concepts! I'll be watching the Calculus 3 ones tomorrow (lol) Thank you again!

[liesalllies]

Really appreciate this! My linear algebra final is in 3 days and this is such a great overview to refresh my memory. Really appreciate the neat handwriting and dark theme. Thank you!

[hanauddin]

I’m going to share this with my class mates so you can get more views. Great work!