When a matrix A can be row reduced to a matrix B, we need some way to hold track of the determinant. I teach the properties in this video that let us to hold track of determinants as we perform elementary row operations.
LIKE AND SHARE THE VIDEO IF IT HELPED!
Visit our blog: bit.ly/1zBPlvm
Subscribe on YouTube: bit.ly/1vWiRxW
Like us on Fb: on.facebook.me/1vWwDRc
Submit your questions on Reddit: bit.ly/1GwZZrP
Hello, welcome to TheTrevTutor. I'm here to support you learn your college courses in an simple, efficient manner. If you like what you see, feel nonpaid to subscribe and follow me for upgrades. If you have any questions, leave them below. I test to respond as many questions as possible. If something isn't quite clear or needs more explanation, I can easily create extra videos to satisfy your need for knowledge and understanding.
how did you obtain the -18 and the 12 3:52
I'm not sure if your proof for det(A) = det(A') is correct as you're only considering upper triangular matrices, against considering general matrices. Don't you have to present it gotta keep for any matrices?
For the fully clueless, detB is the final effects you're looking for. So, in easy english, whatever operations you apply to detA, you need to apply the opposite operations to your effects. Some recipients are taught to do the opposite operations at the very end...it depends on the instructor and ebook used for the class. In those topics you write the opposite operations on the side of your paper. In this topic, he's just placing them to the left of the actual matrix he's working with at each instance he applies an operation.
Would you please be able to present the proof in 9.31 for the second property please if possible.
can you explain why you changed the -1 in the Botton row to 1?
first there mins was extremely useful! thank you!
Triangular form was useful thanks )
Nice video ! You accidentally switched -1 to one though so the det B is 18 not -18
Thanks, it was great a easy
Search [Linear Algebra] Properties of Determinants TheTrevTutor song statistics with sub count live checker.