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You are such a good❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤ teacher

Hello Mr. Hamblin, I am a student that's really benefitted from your videos! You taught me trigonometry in a way that no school year ever could! This playlist really should be made more famous, I thank God every day that I found it. Thank you for making a once daunting subject seem easier and more understandable!

I like your explanation

best video, thank you so much!

the range of a transformation is a subset of the codomain

Super ❤

Dude you are the man

dont choose x3 = 0 for linear dependence relation. :P

Super clear! To summarize or recap (with a slight abuse of notation) : Given an m x n matrix A with entries from the set of real numbers (more generally from a field F), a constant vector b in R^n (more generally F^n), and 0 in R^m (more generally F^m), we can define H = { x in R^n : Ax = 0 } and G = { x in R^n : Ax = b }. Then if G is nonempty, and you know in particular what an element of G is, which we will denote by the vector p, then it can be shown that G = { p } + H. The latter expression { p } + H is the set of vectors which are the sum of p and elements in H. if G is empty , then G is empty and we can say nothing further about G, and the linear system is inconsistent.

Very useful video. When you say row reduce the matrix , is it sufficient to be in 'echelon form' or does it have to be in 'reduced echelon form' which is the unique reduced matrix. also books seem to vary on echelon form, some require the pivots to be scaled to 1 while others do not require it.

Finding a pivot in the last column of an echelon matrix is inconsistent - very well said. Clearly a pivot must be non zero, otherwise it wouldn't be a pivot, so we don't need to say nonzero pivot.

Learning english was the greatest thing i have done to myself. Due to scarce learning resources (or rather videos so well made that i can be a slacker and get the idea fast and pass with little effort) i wouldnt normally have ever stood a chance in sciences. This video is so good, i have been looking for some 3 hours at resources in my language that are pretty much nonexistent and so bad in quality that you managed to explain much more in 5 minutes than all my compatriots combined in 3 hours. What a blessing. Great video.

what if i have american express credit card which have 15 digit not 16 otherwise the tutorial was boom?

so this is the 1st video of the playlist?? I feel like I am missing something!

thanks, king🙏

At 4:21 im so confused. Can we use a coeffient matrix instead of an augment matrix? Becuz I have that equal sign or vertical line between my 2nd and 3rd column. I can’t seem to get the row reduced echelon form unless I do a coeffient matrix without that line. I’m stupid idk what I’m doing. I’m learning this for a summer class and we are going way too fast. Linear algebra in a month feels impossible

Great stuff

Amazing

thankyouuuuuuuuu sooo muchhh for this videoooo <3<3<3

thank you so much!

More informative than several chapters/several weeks of my Abstract Algebra course using Gallian 10th ed. While a good book, there is ample room for improvement. For one, a deep dive into groups first is less helpful than an exploration of groups, rings, and fields contemporaneously.

thank you

sir you're my saviour, thanks for the videos.

Marvelous So help full for Junior/ Community College students

good video,straight to the point

🥰🥰

Best explanation ever🙌

What about Z[x] ?

I've had trouble with this for ages, this video is no nonsense and really helped

This is amazing, I can't thank you enough. Every Green's Theorem video I've hunted down does the double integral version of GT and maybe I'm just looking in the wrong place. This is *exactly* what I needed to help me.

Allah senden razı olsun hoca bu nasıl güzel bi anlatım

This video is so helpful

Very Detailed and Explanatory. Much appreciated 💯

This is just awesome!

Nice, thanks!

This was the best video to find the bounded regions thank you s much

Genuis People are not good to teach. They think the learner knows everything. Most of the time They explain to themselves

definitely a great collection of interesting problems

amazing!

is there a difference between lowercase n and uppercase N in terms of vectors? do they represent different things?

4:57 you should have used u as well for pi and 0 and change it values

4:21 that's what I was saying from the beginning!! To cancel x with the x

appreciated

4:21 i lost it from here

الله يسعدك يارجل ماتوقعت ان الموضوع بسيط للدرجة هذه😮😮

good video

I got tou sir

Why u don't divide from unit vector

Can any one telk why the upper limit in x2+y2=4 is zero??

You teach soo well