[Linear Algebra] Properties of Determinants TheTrevTutor

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Channel name: TheTrevTutor
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[Linear Algebra] Properties of Determinants video

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.

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Tags:
properties of determinants linear algebra determinants determinants linear algebra elementary row operations and determinants determinant of 3x3 matrices determinant of 4x4 matrices determinant of 2x2 matrices determinant of matrices properties of determinants of matrices properties of determinant properties of determinants cramers rule

 

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Comments

 


Miguel Vargas

how did you obtain the -18 and the 12 3:52

Suhayb Yousif

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?

TheChosenOne

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.

akhtar uz Zaman

Would you please be able to present the proof in 9.31 for the second property please if possible.

Kris-Lynn Wood

can you explain why you changed the -1 in the Botton row to 1?

Kris-Lynn Wood

first there mins was extremely useful! thank you!

Sohrab Askarli

Triangular form was useful thanks )

Alex H

Nice video ! You accidentally switched -1 to one though so the det B is 18 not -18

Gangadhar Gangadhar

NYC better

John Slina

Thanks, it was great a easy

 

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