Algebra 53 - Elementary Row Operations
Once a system of linear equations has been converted to augmented matrix form, that matrix can then be transformed using elementary row operations into a matrix which represents a simpler system of equations with the same solutions as the original system. This lecture introduces the three elementary row operations used to achieve this transformation.
Пікірлер: 53
Wow this is amazing. Took me forever to find a decent video and here I am learning from a cartoon professor. The animation saves alot of time and easy to visualize unlike traditional board writings.
I've seen many matrice videos and yours is by far the best! I love how much detail you go into!
@thobileangel8082
3 жыл бұрын
That is number one how can I join
how would i know which operation should I use?
Very useful when a textbook is moving quickly and abstractly - thanks!
Very nice. I like how you showed how to apply the scale operation in such a clear way.
MY PROFFESSOR JUST TELLS SOMETHING AND GOES.YOUR VIDEO IS THE BEST ALL AROUND THE GLOBE
best matrix explanation i have ever seen love it
Thousands and thousands of thanks. Superb.
i really learn more from your videos.
This helped a lot. Awesome animation style also. Very clearly explained.
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Thanks, great video! I can hardly wait for your next one on Gaussian elimination!
Excellent video, animation, and colors to numbers helped.
very nice step by step explanation, i appreciate
It was very informative at the same time concise. Thanks for this sir.
Thank you for this!
Super helpful. Thank you alot.
very nice step by step explanation
Very good, excellent ops
Very concise Sir. I appreciate your videos. You've saved my time and gave all the information we have to know. Keep videos coming! Bless you!
@Littlemiathedreamer1590
2 жыл бұрын
Better than other videos.. ✅💯
i realy love it.... thank u
Thank god for Professor Von Schmohawk.
I understood very well now danko is thank u🤘
Great. Technology makes math much easier. Save me years for understanding
How do I know which operation to make on each row?
helpful
(7:43). is R1-3R2 arrow sign R1 the same -3R2+R1 arrow sign R1? thank you.
Hi, are we allowed to multiply both rows before addition? That is, are we allowed to do 2R1-3R2 in a single step?
@ahsantahir6624
2 жыл бұрын
Yes
thanks for the content. but i do have a question, at 8.38, why is it R1-3R2 instead of R1+3R2?
@MyWhyU
4 жыл бұрын
You are correct that we could have written R1+(-3)R2. However R1-3R2 is a bit more concise.
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This is great and all but what are we gonna use this for in real life?
@MyWhyU
5 жыл бұрын
One example of a practical use of linear equations is to represent anything that changes at a constant rate. For example the position of something travelling at a constant speed. A system of linear equations could be used to represent a situation where two or more things are travelling at a constant speed and you want to find when they meet, as the example in "Algebra Chapter 35 - Systems of Linear Equations in Two Variables". There are many other real life examples of linear systems that you will encounter, especially if you study engineering or science.
when using the scale operation, you choose to multiply 2 by R1, and -1/3 by R3, can you explain how, or why you choose these numbers?! Thank you
@teiermyler4926
2 жыл бұрын
I believe they can be any constants, those were just random examples
Hi. How did you know you had to multiply the third row by negative one third?
@MyWhyU
7 жыл бұрын
In the video, the third row was multiplied by negative one third as an example to show how the scale operation worked. There was no particular reason to choose the number negative one-third as the multiplier other than making it easy for the viewer to follow the math.
Hello, can I just swap R1 and R2 without swapping R3 to other rows?
This is the stuff that always throws me off...at 5:10, where does the 2 come from? The person that made the video just picked a "2" out of a hat and decided to use it? Or is it derived from the problem? Could they have picked ANY number? No videos ever explain where things like this come from so I never know.
@MyWhyU
7 жыл бұрын
You are correct. The number "2" was just a random multiplier picked as an example to show how the "scale" operation works. Any number could have been used, but multiplying by "2" is easy for viewers to follow without having to think too much about the result, as opposed to say, multiplying by negative 17.
How do I know which number to multiply with?
@MissT-zq5xg
4 жыл бұрын
Any number of your choice
Someone please tell me what accent this person has?
@MyWhyU
3 жыл бұрын
Cartoon land
I knos why i can not be miltiplied by 0.
I think it needs to be mentioned that you can't scale by 0.
@MyWhyU
4 жыл бұрын
At 4:54 Professor VS says the scale operation allows multiplication of any row by a non-zero constant.
@MissT-zq5xg
4 жыл бұрын
It was
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