Or you could add all lines to the first and you would get 1+2+3+4+5 on the first line,then just factor them and you would only have 1 s on the first line,make them 0 and you would get a 4x4
of course i'd start by subtracting the first row once from everything else, and then the second row X many times from all the rest to get [(1,2,3,4,5),(1,1,1,1,1),zero,zero,zero] it's as beautiful a reduction as the matrix
Because inverse of A = {1/|A|}{adjoint of A} Now if two rows are identical, then |A| (or determinant of A) would be zero and inverse of A would not be defined.
The columns are linearly dependant, so the determinant is 0
You could also substract lines/columns to get 4 "11111" rows/columns and get 0 as det.
Its great that you upload this determinant videos, because in college in seeing this actually! Keep it up Dr Peyam!
One mathematical meme mad-lad:
"We have better stuff to do. Ain't nobody got time for that"
Great vid!
What was the beginning step of multiplication of x-2 and x-3? How does this work or what is this called so I can find why this is done?
Peyam: Alright thanks for watching
Me: But I haven't watched the video yet
I love ur teaching ! Is there any video about dual space in future? :p
In a couple of months
Or you could add all lines to the first and you would get 1+2+3+4+5 on the first line,then just factor them and you would only have 1 s on the first line,make them 0 and you would get a 4x4
R5-R4 , R3-R4
2 rows same so zero
1st comment
I thought the same :-)
Do you mean R4-R3?
Mohammed Sharukh whatever
of course i'd start by subtracting the first row once from everything else, and then the second row X many times from all the rest to get [(1,2,3,4,5),(1,1,1,1,1),zero,zero,zero] it's as beautiful a reduction as the matrix
Does it have something to do with the det being "symmetric", ie equal to its transposed, or just a coincidence ?
Just a coincidence :)
Hahahahaha, I love this one!
Haha! Thanks for the video, it is one of the few videos I understand 100% :P
Hugs from Brazil
Nice explantion sir
What is the Jordan form for this?
Good question, haha! Definitely an eigenvalue of 0 somewhere
Why matrix are not inversible when have two same line ?
because it results in the determinant being 0 thus not invertible
Because inverse of A = {1/|A|}{adjoint of A}
Now if two rows are identical, then |A| (or determinant of A) would be zero and inverse of A would not be defined.
C2 - C1 + C3 = C4
The determinant is equal to 0
Thanks goodbye !
Thanks
Upload the next for Gaussian Integral
Please, Dr. πm 😍😄
In 2 days
Wow realy beautiful det.D peyam