What is a Determinant?

Determinants are useful, but hard to interpret in physical terms. Here's a description of what it is and why it is useful.

[chevlogs]

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 YouTube!!

[sebastianmontoya-vargas]

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!

[touhamikawther]

This is what a teacher should be, you have inspired me in so many ways, all respect . Thank you

[karvin]

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! 🇵🇭🇵🇭🇵🇭

[bixbe_sglearn]

well done. clear and concise and nice comparison between mathematician mindset and engineer mindset

[mnada]

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...

[cpromvijitify]

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.

[ShariefSaleh]

Very informative video and really inspiring insights!

[alexkid]

Thanks for the shoutout. I'm from Sweden if it is of any interest :)

[thachnnguyen]

Still don't know _what_ determinant is for. Useful how?

[peterp]

Mister, eigen values are important for state space control theory. Also, you should google better examples for a determinant.

[aichujohnson]

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.

[haroonwazir]

What does it take to soak up as much knowledge as you?

[MrPillaj]

I'm fucking numb in mathematics 😢