3.2 - Properties of Determinants

This project was created with Explain Everything™ Interactive Whiteboard for iPad.

[YasinFarid]

Understanding the real-life application of determinants adds a layer of motivation and relevance to learning about them.

[Elijah_Hoenig]

That echelon determination seems very useful! I wish I knew it for the last test. All the tidbits about computer optimizations seem like good things to know about for CS majors, since computers haven't yet gotten powerful enough to truly make optimized mathematics obsolete.

[preechll]

i appreciate your work thank you so much :)

[alejandrochavarriagonzalez]

A lot of little details to keep track of but still pretty interesting! Is there a shortcut to calculating the adjugate of A with the calculator all at once?

[BenjaminBeauchamp-lx]

I could be wrong but at 13:44, I think he forgot to put in a -1. I don't see any reason why he didn't carry over the row 1, 2, -1 during the row operation, so I'm pretty sure he mistakenly wrote 1 2 1 in the determinant. Could be wrong but lmk if anyone else agrees. Love the videos btw!!!

[KISPN]

This caught me really off guard. I just realized we haven't had to row reduce a matrix when finding the determinate up til this point. I think the rule that I must look out for the most is the row swaps. I swear the sign flippage is going to be the end of me. (Edit): the (-1)^n is really helping me with the final product. Theorem 3b: det B=((-1)^n) det A

[nicholaspisano]

Seeing as I get this topic quite a lot I feel like this is a great time to ask this question; home come in mechanics something like the inertia tensor has components which are not linear? I get that tensor are a bit far out there especially for a introductory course but its something that just doesn't stick with me.