This guy is brilliant, I'm not even at an Ivy League and I feel like my Linear teacher goes WAAAY faster than this, but they don't make the type of sense this man can, love him!!
Honestly, this lecture was very confusing.. take the first example, he never explains why he is allowed to pick any number for the x2 and x4 elements of the solution vector.
I can also give x1 and x3 two numbers and get another solution, so does this vector belong to the nullspace vector too? why or why not ?
And what the fuck is wrong with the students, they never ask any question...
if you paid attention he is stressing the point that there is a unique solution for the pivot variables for every different values for the free variables.
The lecture is excellent. But privately I think it was a pity he forgot to give exact definition of a staircase matrix. Using examples is great but better give the universal rules afterwards or it could be confusing.
the purpose of elimination is to rid all the non-zeros below pivots; in this case A23 is already zero so you don't have to use A22 as a pivot. if A32 were a non-zero, then it would be a failure and you'd have to do row-exchanges to survive it.:-)
I wonder why nobody applauses after the lecture. Is that unusual in America? In Germany the students do it after every lecture, especially after the good ones. Well, he gets my applause :-)
Maybe this is because in America we, as students, have to pay our teachers a lot of money. This is especially true at a school like MIT. So, maybe we expect to get our money's worth!
but there is almost noone at the lectures, you're paying so much money to get these lectures but i don't think you treat like you want to get your money's worth.
i heard this applause case for the first time, unusual convention, i think it is peculiar to germany.
He is a "great" mathematician who has contributed significantly to Engineering. His seminal work in "Finite Element Analysis" speaks for who he is....
Just wanted to point out this... No hard feelings...
I'm already learning more from this guy than I do on class!!
QueenSemiramis 2 years ago
This guy is brilliant, I'm not even at an Ivy League and I feel like my Linear teacher goes WAAAY faster than this, but they don't make the type of sense this man can, love him!!
rhammes07 2 years ago 2
those who complaint should upload a better video than this and if they fails then they better keep their mouths shut
ahmedmasu 2 years ago 2
One can only explain so much in a 50 min lecture, and i think he is doing an excellent job in covering major ideas.
So bitches, please stop complaining...!!
BugByte1000 2 years ago 3
these videos are helping me understand what my teacher is saying about linear!
Valigon 2 years ago
Honestly, this lecture was very confusing.. take the first example, he never explains why he is allowed to pick any number for the x2 and x4 elements of the solution vector.
I can also give x1 and x3 two numbers and get another solution, so does this vector belong to the nullspace vector too? why or why not ?
And what the fuck is wrong with the students, they never ask any question...
komolokoplayer 3 years ago
This comment has received too many negative votes show
how can this be confusing??? his lecture is really for stupid
kelvinella 3 years ago
for stupid? kelvinella, it´s an undergradute course smartass. this guy it's a math guru and you are john doe.
elmaiz1 3 years ago 8
He lectures for a student body that consists of some 50% valedictorians.
AustinSalgat 2 years ago 3
its becuase your stupid
emachines34 2 years ago
if you paid attention he is stressing the point that there is a unique solution for the pivot variables for every different values for the free variables.
does that make sense to anyone????
wasssabii 2 years ago
He doesn't explain the details very well or at all, and sometimes it's confusing because he hesitates too much.
At 08:48 he forgets to explain why he is allowed to assign any number to x2 and x4.
komolokoplayer 3 years ago
The lecture is excellent. But privately I think it was a pity he forgot to give exact definition of a staircase matrix. Using examples is great but better give the universal rules afterwards or it could be confusing.
07300400091 3 years ago
In the first example he continued even after he got a zero in the second column, wasn't this used to be "failure" in the earlier lecture?
batteekha 3 years ago
the purpose of elimination is to rid all the non-zeros below pivots; in this case A23 is already zero so you don't have to use A22 as a pivot. if A32 were a non-zero, then it would be a failure and you'd have to do row-exchanges to survive it.:-)
07300400091 3 years ago
Gilbert Strang has a cool book on calculus.
texicansoccer88 3 years ago
I wonder why nobody applauses after the lecture. Is that unusual in America? In Germany the students do it after every lecture, especially after the good ones. Well, he gets my applause :-)
Mustardo2 3 years ago 4
I agree - Strang is one of the best. He definitely merits applause!
jonahansen 3 years ago 4
Maybe this is because in America we, as students, have to pay our teachers a lot of money. This is especially true at a school like MIT. So, maybe we expect to get our money's worth!
sorrygofish 3 years ago
but there is almost noone at the lectures, you're paying so much money to get these lectures but i don't think you treat like you want to get your money's worth.
i heard this applause case for the first time, unusual convention, i think it is peculiar to germany.
meanwhile,professor is the best.
mOLokO9xls 3 years ago
We do applaud guest lecturers. That kind of goes against my hypothesis as they probably get lots of money for their talks.
sorrygofish 3 years ago
thanks for posting
crowbat 3 years ago 2
the way he writes 8 is so inefficient. Unexpected for a mathematician!
nealtuf 3 years ago
You're complaining on how he writes 8. Are you kidding me. He's clear and concise. That is the way a professor should be.
uchihay2g 3 years ago 3
he is not an engineer.. why should he care about efficiency?... he is a cool mathematician
binyillikcinar 3 years ago 4
Dear biny...
He is a "great" mathematician who has contributed significantly to Engineering. His seminal work in "Finite Element Analysis" speaks for who he is....
Just wanted to point out this... No hard feelings...
vaidy81 3 years ago 4
good to see these videos on youtube!
sneakfast 4 years ago 2