As a foreigner I would like ti praise your serious, decent, clear and well standardized pronunciation of English. Something of one accord with the brightness of your effective didactics. Greetings!
Here's a question: what is your interpretation of the meaning of a determinant? Complicating matters is, I've heard the term used in a couple different contexts. one of them is, in the quadratic formula, the part under the square root is sometimes called the "determinant", and I'm not sure why. I don't get the common concept behind it all. I have a fondness for determinants though. You can use them to solve systems of linear equations (Cramer's Rule). You can use them to determine if systems of equations are linearly independent.
Chosen column can be expressed as linear combination of vectors then determinant will be sum of determinants and in each determinant in that sum chosen column is replaced with that vectors Here is example det([[a_{11},bv_{1}+cw_{1},a_{13}],[a_{21},bv_{2}+cw_{2},a_{23}],[a_{31},bv_{3}+cw_{3},a_{33}]]) = b*det([[a_{11},v_{1},a_{13}],[a_{21},v_{2},a_{23}],[a_{31},v_{3},a_{33}]])+c*det([[a_{11},w_{1},a_{13}],[a_{21},w_{2},a_{23}],[a_{31},w_{3},a_{33}]]) This with cofactor expansion can be helpful if we want to expand characteristic polynomial written in the form det(A-λI)
hey, thanks for the video, sir. I can understand the calculating process, however, I would like to know why do we do it like this? Any geometric interpretation please?
![The Rule of Sarrus [ 3x3 Matrix]](http://i.ytimg.com/vi/Xd__zvs0qmY/mqdefault.jpg)
![The Rule of Sarrus [ 3x3 Matrix]](/img/tr.png)
As a foreigner I would like ti praise your serious, decent, clear and well standardized pronunciation of English. Something of one accord with the brightness of your effective didactics. Greetings!
I have determined that Prime Newtons is the math channel to watch! 😊
I really appreciate you!! You are so helpful!!
u r so good at explaining! thank u so much
Welcome 😊
You're the best man you saved me
Here's a question: what is your interpretation of the meaning of a determinant?
Complicating matters is, I've heard the term used in a couple different contexts. one of them is, in the quadratic formula, the part under the square root is sometimes called the "determinant", and I'm not sure why. I don't get the common concept behind it all.
I have a fondness for determinants though. You can use them to solve systems of linear equations (Cramer's Rule). You can use them to determine if systems of equations are linearly independent.
Discriminant under the square root. I used to mix them up, too 😀. I think determinant arises from a system of equations. I'll do more research.
@@PrimeNewtons Thanks! I mean, only if you're curious about it. I don't want to make you do extra work.
I am
Determinant 3x3 is the volume of parallelopiped
Determinant 2x2 is the area of parallelogram
u the goat ngl
Exactly a good work
you are rock sir
Chosen column can be expressed as linear combination of vectors then determinant will be sum of determinants
and in each determinant in that sum chosen column is replaced with that vectors
Here is example
det([[a_{11},bv_{1}+cw_{1},a_{13}],[a_{21},bv_{2}+cw_{2},a_{23}],[a_{31},bv_{3}+cw_{3},a_{33}]]) = b*det([[a_{11},v_{1},a_{13}],[a_{21},v_{2},a_{23}],[a_{31},v_{3},a_{33}]])+c*det([[a_{11},w_{1},a_{13}],[a_{21},w_{2},a_{23}],[a_{31},w_{3},a_{33}]])
This with cofactor expansion can be helpful if we want to expand characteristic polynomial written in the form det(A-λI)
Here's another video I need to watch again. Sure seems like a lot of opportunities to make silly computational errors!!
hey, thanks for the video, sir. I can understand the calculating process, however, I would like to know why do we do it like this? Any geometric interpretation please?
👌🏾👌🏾
Thanks so much sir.
Please sir, kindly help us with "Game Theory"