Just commenting here because the videos that you've uploaded 5-6 years ago helped me a lot to understand stuff. Thanks a lot for what you're doing. Who needs uni when you have great teachers like this on UA-cam!!
I had the pleasure to attend a guitar building course with proff. French at Colombia and I have to say his clarity in explaining complex things in a simple way is just awesome!
Nice video! thank you for bringing substance to the topic of determinants, as a physics student I get discomforted when we just tackle math concepts and just go straight into performing calculations which hides you from appreciating the power of math in solving problems in our world. ❤️ from the Philippines! 🇵🇭🇵🇭🇵🇭
Thank you for your informative comment. Actually this kind of insight is just what is missing in classrooms during my study. Back then there was no meaningful purpose for most of the topics studied. So to summarize is it true to assume the following ... a matrix is a model describing a process, det is a mathematical property of that model and then eigenvalue would be a physical property specific to that model...
Yes, I think you have it. Mathematicians usually like math just because it's math. Engineers and scientists more often are interested in math because it allows us to describe the world around us and to make predictions about it.
From Thailand, I wishes i could have been your student while i was in U.S. It would jump start my journey to deep math and finite element expert. Love your analogy about different perspective of mathematician and enginnering which should have mentioned in school so student could extract different point of view and appreciated it.
@@purdueMET Brazilian viewer here. Found your channel when looking for content on structural analysis, stuck around for the quality content. Keep doing you!
Hi Mark. Would ye happen to know how the rules for the determinant were conceived? Rules for multiplication of numbers makes sense. The rules for a 2x2 determinant also make sense, when derived using systems of equations. However, the rules for greater than n=2 do not seem intuitive. So many people know how to follow the rules, but I have trouble finding a person who knows why these rules exsist. Thank you.
I'm afraid I don't have a very satisfying answer for you. The determinant has been around for more than 2000 years and arises from properties of systems of linear equations. I don't know of any intuitive reason for why determinants involve a vector cross product.
Just commenting here because the videos that you've uploaded 5-6 years ago helped me a lot to understand stuff. Thanks a lot for what you're doing. Who needs uni when you have great teachers like this on UA-cam!!
This is what a teacher should be , you have inspired me in so many ways , all respect . Thank you
I had the pleasure to attend a guitar building course with proff. French at Colombia and I have to say his clarity in explaining complex things in a simple way is just awesome!
well done. clear and concise and nice comparison between mathematician mindset and engineer mindset
Nice video! thank you for bringing substance to the topic of determinants, as a physics student I get discomforted when we just tackle math concepts and just go straight into performing calculations which hides you from appreciating the power of math in solving problems in our world. ❤️ from the Philippines! 🇵🇭🇵🇭🇵🇭
Thank you for your informative comment. Actually this kind of insight is just what is missing in classrooms during my study. Back then there was no meaningful purpose for most of the topics studied.
So to summarize is it true to assume the following
... a matrix is a model describing a process, det is a mathematical property of that model and then eigenvalue would be a physical property specific to that model...
Yes, I think you have it. Mathematicians usually like math just because it's math. Engineers and scientists more often are interested in math because it allows us to describe the world around us and to make predictions about it.
Very informative video and really inspiring insights!
Bloody good bloody good video son.
Well done and much appreciated!
From Thailand, I wishes i could have been your student while i was in U.S. It would jump start my journey to deep math and finite element expert. Love your analogy about different perspective of mathematician and enginnering which should have mentioned in school so student could extract different point of view and appreciated it.
Yay Thailand! I lived in Thailand for two years when I was very little. My sister was born in Bangkok .
Thanks.... Mr. ❤
Awesome video.
Thanks for the shoutout. I'm from Sweden if it is of any interest :)
Same here
You're most welcome. It's nice to know I have a viewer from Sweden. I used to go there on business - a wonderful place.
Sweden also? Cool.
@@purdueMET Brazilian viewer here. Found your channel when looking for content on structural analysis, stuck around for the quality content. Keep doing you!
Thanks, count on it :-)
Great explanation
Still don't know _what_ determinant is for. Useful how?
Hi Mark.
Would ye happen to know how the rules for the determinant were conceived?
Rules for multiplication of numbers makes sense. The rules for a 2x2 determinant also make sense, when derived using systems of equations.
However, the rules for greater than n=2 do not seem intuitive.
So many people know how to follow the rules, but I have trouble finding a person who knows why these rules exsist.
Thank you.
this video might help you: ua-cam.com/video/D8rghkxf4eU/v-deo.html
Thanks sir.
Most welcome
Why do we. Cross multiple only
I'm afraid I don't have a very satisfying answer for you. The determinant has been around for more than 2000 years and arises from properties of systems of linear equations. I don't know of any intuitive reason for why determinants involve a vector cross product.
Mister, eigen values are important for state space control theory. Also, you should google better examples for a determinant.
What does it take to soak up as much knowledge as you?
I'm fucking numb in mathematics 😢