Відео

You're welcome!

You are welcome. You would think it would be easier.

You are welcome!

Thanks for the kind words. I am really glad it helped.

You are welcome, Ariana. Good luck!

You are very welcome. I am glad it helped.

Happy new year!

I am sorry that didn't help Daniwal, good luck on your test and I hope you find something that was helpful. If there is a way specifically that you think I could change the video, I am open to the feedback.

Sorry for the late reply. That is a great idea. I think that what I will need to do some studying up on it as it is not entirely obvious. Is there anything you would like me to focus on?

@@georgefsweeney to be honest, i wasnt sure if was my question was releted to this video. anyway a little background how does he came to final theorem well be great and thx for your replay.

Sorry for the late reply. Thank you sir, I am glad you liked it.

I am so glad! Good luck on your exams!

Thanks oguza. I have changed my sound system since this video, but I will upgrade this one during my break. And I am going to pick up a new system. Thanks for the feedback!

Thank you, I will look into this and make sure everything is correct.

If not, I am going to do a redo.

Hi Whatever, the values of 4, 1, 1, and -1 really come directly from the elementary matrices for the row operations. We can turn each row operation into an elementary matrix and that matrix has a determinant. If we mutliply a row by k, then the elementary matrix has a determinant of k. Addition of rows always has a determinant of 1 no matter which two we are adding or what we are multiplying the rows by. And permutations have a determinant of -1. In this case, you can see the row operations are multiplying one of the rows by 4, adding multiples of two of the rows, another addition of two rows, and switching two of the rows- so 4*1*1*-1. I have added some links in case you want a deeper dive. Here is a video about elementary matrices: ua-cam.com/video/ncU3VsrDyMo/v-deo.html Here is a video that relates the row operations: ua-cam.com/video/3gzH4Bro5Eo/v-deo.html I hope that helps.

Row operations will change the values in a matrix either by adding rows or multiplying rows by scalars or permuting . This will change the values in the matrix. Essentially that is the process for Gaussian elimination. This video is focusing on how using those row operations affect the determinant and that explanation depends on elementary row matrices and their relationship to the determinant. Can you help me with a little more information about what you don't understand and maybe I can help a little more or point you to a good video?

I totally get it. I am glad it helped.

I will give it a check. I have a list of videos for this break that need a good looking through and revision. Thanks for the heads up.

I am really glad it helped. Keeping plugging through multi-variable.

You're welcome!

You are totally right. I dropped the negative off on the second half of the first integral. It will need a revision.

I am so glad it helped!

Thank you, let me take a look at this.

Yes it does. You are dead on. Looks like this one needs a revision.

Thank you so much!

Thank you!

Got it, I will see if I can get a revision in this weekend. Thank you!

Hey Foolish, finally got around to making the change, but if I am correct- I converted the L[-cost], but that means that I pull out the negative and take the Laplace transform of cosine. The two negatives make it positive. I wasn't explicit in moving the scalar outwards.

Glad it helped!

This is true because at the end of the day, this kind of proving simply requires some algebra ability and an understanding of what the members of the domain look like.

You are welcome!

Thank you, I and my students really appreciate all the great tools that people have created. Eventually I hope to pay it forward and create some great things for other teachers to use.

And specifically, thank you!

Sameer, if you put the bars in the first two slots, you will have a bowl with 5 pears, no oranges, and no apples. At the bottom of the question, it says there are 5 of each type of fruit. So there should be five pears. Let me know if you have a follow up.

Shiny_apricot, I am glad that it helped.

I am not sure about the question, but if I understand you right: I use the theorem to evaluate the limits in this video and I think for most purposes this actually is the quickest and most effective way of finding the limits of vector-valued functions. So I use the theorem one for the limits problems. I think I glossed over the limit definition because I didn't want to go into evaluating distance(the two bars on either side of definition of the limit) and all of the machinery of calculating a magnitude when the theorem really was more intuitive and connected better to early ideas of single-variable calculus. So in short, the theorem is actually how we would find limits. I hoped that helped. Let me know if you have a follow up.

@@georgefsweeney Thanks!

Wonderful Bouazabachir4286. I am looking forward to hearing from a lot more people. I hope this helps.

That is correct. Gaussian Elimination transforms a matrix to row echelon form. Gauss-Jordan Elimination transforms matrices to their reduced row echelon form. The process is virtually identical and I think the video shows both methods. For Gaussian Elimination, just stop at the row echelon form.

@@georgefsweeney thanks for reply

You are so welcome!

I am so glad to hear it. I hope your exam went well.

Because we are breaking the interval up into 5 parts and the interval is from 0-1, we get each interval is a length of .2. So the first interval goes from 0-.2. Then we take the midpoint of each section, so that first midpoint is .1. Then, .3 and so on. You can see the explanation at about 1:15 in the video.

You're welcome 😊

You're so welcome!