Matrices: Reduced row echelon form 1 | Vectors and spaces | Linear Algebra | Khan Academy

preview_player
Показать описание

Solving a system of linear equations by putting an augmented matrix into reduced row echelon form

Missed the previous lesson?

Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Рекомендации по теме
Комментарии
Автор

Khan is the professor of every engineer, scientist, economist, and mathematician of the Western world.

Crunkmastaflexx
Автор

I may jus give my college funds to mr khan cause i learn more in 10 minutes than i do in a week in my courses

moserdaposer
Автор

This guy is a million times better than all my other teachers...

Vellichor
Автор

to fill the second row, why do you subtract row 1 with row 2 but when you want to fill row 3 you subtract row 3 with 2 times row 1?

DanesyaPratiwi
Автор

thank you so much. this was so incredibly clear and much better than my textbook.

HappehLlama
Автор

Past my linear algebra midterm cause of you Sal! Thanks for all the help!

Imac
Автор

12:56 I was following well, but it all went over my head from this point on. I'm guessing it's because I need to understand what vectors are first.

TheRok
Автор

Having to do this at a level now this video has saved me

KewlKid
Автор

this guy is a blessing, thanks a lot!!!

AndrevMaverick
Автор

how do u know when to change which number to 0 or 1? why do we need to change the '1' ( 1st row, 3rd number ) to 0?

szranger
Автор

Seems like hard n complicated, but still thx

zhijin
Автор

How does Khan know everything? So inspiring.

keatongroom
Автор

Wish all lectures were posted on here, i could just replay it over and over till i get it :) thanx!

confusiouss
Автор

you explain it so much better than my linear algerbra professor. i wish i had you as my prof

christina
Автор

DAE have no trouble w/ multivariate calculus but hates linear algebra??

ShivamPatel-hcgk
Автор

Thank you so much sir for the lessons. U may not have any idea how much you are impacting people all over the world with these awesome teachings and explanations

chinedusamuel
Автор

really awesome teaching...keep helping us sir ...thank you ....

konchokpenzila
Автор

Is there a specific way of solving this, like u gotta perfome this and after that or u gotta find your ways of reducing numbers to zero??

arnoldxode
Автор

@yellotheemcee thats the standard form used in linear algebra, cos sometimes you can get matrices with such higher dimensions that its impractical to use different letters and makes it easier to keep track of using subscripts

SCKDRIFTR
Автор

Unbelievable outstanding lesson, thank you so much.

hugomsouto