Video

Is change of coordinates and change of basis the same thing

Image at 3:07 looks nothing like the original. Am I missing something?

Thanks. This is brilliant.

Why are you starting from Ax = b and then going to Ab = x , how is that even possible.

you missed bro, its hoever

life saver

Nah if we're trying to bring math proofs into English sentences then im suing the guy who invented math proofs. They both go to college cant get more logical then that.

These explanations are a million times better than my professor. Thank you so much!

When we sketch the flipped graph, we replace the “tau” with “tau - t” right ?

Thank you so much 😊🙏

Thank you!!

how to do this, augmented matrix and row reduction thing?

I've proven it in another way, but I don't really know if I've done it right: --- Let's assume \( a \leq 1 \). This brings us three possibilities: 1) a = 1 2) a < 0 3) 0 <= a < 1 Let's analyze them. 1) a = 1 If this is true, the inequality a >= 1/a > b becomes 1 > 1 > b, which is a contradiction, as 1 is not greater than 1. 2) a < 0 If a < 0, then 1/a is also negative. However, there's a contradition in a > 1/a in this case, because as a is a negative number, its inverse will never be less that itself. 3) 0 <= a < 1 This assumption also leads to a contradiction, because if we multiply all sides of the inequality a >= 1/a > b by a, we have: a² > 1 > b (since a is positive, the inequality signs remain the same). This statement is contradictory because if a is between 0 and 1, the square of a is necessarily less than 1.

what if infinite solution?

Wow amazing content man keep it up

holyt sh!t, its that easy? why did I struggle so much my entire proof class semester

Thank you for this class. Please, when M=4, the one values are nine not eight. It should be 2M+1. The figure is telling that but I think you said eight ones.

How to of 4x2 matrix

Hi prof, but wasnt n defined as >=3? 2 does not satisfy, so I think P2 is not in P3 because for it to be defined as "of order 3 at most" as you mentioned Pn should be defined as n<=3 . Please clarify, I watched all your other videos with examples and was amazing i understood everything but this confused me .

I was taught a totally different method for the change of coordinates and it didn't make sense. Now it does. Thank you.

Your 2 looks like a z

can prove just by seeing det not equal to 0 ?

Isn't span the all linear combinations in a vec space. I though what you refered to as U is set of basis vectors.

uhhh ?? you inversed the i with j i for the row and j for the column

Even after 10years still the GOAT

tomorrow i have a signal modulation exam and although my english is not that good yet your explanation was super smooth ... Thank you so much!!!

Thanks for this complete playlist... God Bless You

Thank you for your videos they are a lot of help. You would have 2 million subscribers if everyone needed engineering courses instead of make-up tutorials and reaction videos.

thank you!

thank you so much!

i am like it

Thank you so much - nobody explains these...

this video is truely a gem

You just earned s subscriber

For this semester, every time before exams I came here to watch Mr.Adam’s video, I always got great grades. Thanks for all your supper helpful videos.

Hi, @5:00 , how did you factor it? I searched all over youtube for quadratics with negative exponents but none of them match what i'm looking for. Do you have a video on it?

Watching 2024

You are a life saver for this

Thank you so much! This is so helpful

Thanks, Adam i have no idea what I am doing without your videos. Now I'm acing it.

I think there is an error at 4:44. It is written (x,y) ∈ A\(BXC), but I think it should be written (x,y) ∈AX(B\C).

Bes video for the vector span

where is the result thats the hard part???

This is the best video ever

super helpful

Outstanding! 🫡

Thanks...

hey i would really appreciate your response, I might be missing something but i really wanted to know how did we ignore the (-1)^k while computing the Z-Transform of the first part of the signal at around 4:20 , thanks and really appreciate the entire playlist!

Amazing work! So easy to understand when you explain it! Bravo!