Gram-Schmidt process example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
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- Опубликовано: 13 окт 2024
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Using Gram-Schmidt to find an orthonormal basis for a plane in R3
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I've been going through the playlist of linear algebra and am really thankful for all the work that you have put in into creating the series. I am not able to attend any kind of formal courses due to Visa restrictions, but your videos are helping me to continue the pursuit of my education until I can go to university. Thank you again.
Wow, Here I am using this video from 11 and a half years ago to study for a Numerical Optimization midterm. I cannot thank Khan Academy enough
@ZaneMcCaig Gram Schmidt not only gives you a matrix in which every vector is a unit vector, but it also forms an orthogonal basis in which every vector is perpendicular to every other vector. Orthogonal matrices have some very useful properties (for example, orthogonal Q inverse = Q transpose; also, Q times Q transpose makes a projection matrix). This process may seem like a lot of work (and it is), but the result is very useful.
=Math
thank you, final in 8 hours, helped clarified things
how was it?
@@Splntxx 12 years ago, hopefully they did well
Linear Algebra final today! Here goes nothing...
how did you do? :D
***** ..Some say he's still writting that test.
***** I ended up passing with a D but I think I got a 55% on the final... :(
How was it?
finnally.........thank you so much sir
09:15 is wrong. The projection should include the u1 on the right.
dot product is commutative.
The absolute value or distance of Y2 =root 6/2 .if I am wrong please correct .
How do you make an extra vector (u3 or v3) to this basis? Since there are three coordinates in the vector is it possible?
Why do you assume x2 and x3 as free variables at the beginning of the video?
This is just an example, you can do whatever you like
giving online exam in exam helped me
isn't 12:08 sqrt(3/2)?
Can't we just get the formula and how to use it?
excellenct!
Have you tried watching it at 2x speed?
Well yeah, the whole thing. His voice is still the best :D
the program of Gram Schmidt Process for a dimension d*n
Your explanation is more complicated
I'm not really sure how using the f word relates with being in the university.
Good lesson, but too slow.
Sometimes you just need to get to the answer
Beat that guys, my final is after 1 hour and 35 minutes
i m writing the final
@petah604 Shit finals in winter? Mine is tomorrow =D
@oneben
with this attitude, i doubt you`ll ever make it to university. ppl who use f words are normally not seen in next term classes. u my friend will not be seen anywhere close to unviersity.
once u fail acheive ur goal, u can always return to this screen and thank khansAcademy lol
I hate this Gram-Schmidt law thing... so confusing. and midterm is in 3 hours....
just follow the logic, its very clear then
Facts about khanacademy - dont hate me
statesmandotcom/news/local/austinite-makes-popular-math
i've been watching your vids for a while now....but seriously, I cannot understand you. You need to be more coherent while you speak, instead of going back here and there.
Otherwise, I follow your work perfectly
@sam1209 LOL
@onebenp
lol
Your videos are confusing