Gram-Schmidt process example | Alternate coordinate systems (bases) | Linear Algebra | Khan Academy
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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
finnally.........thank you so much sir
How do you make an extra vector (u3 or v3) to this basis? Since there are three coordinates in the vector is it possible?
Linear Algebra final today! Here goes nothing...
excellenct!
giving online exam in exam helped me
The absolute value or distance of Y2 =root 6/2 .if I am wrong please correct .
isn't
09:15
Have you tried watching it at 2x speed?
the program of Gram Schmidt Process for a dimension d*n
Why do you assume x2 and x3 as free variables at the beginning of the video?
Good lesson, but too slow.
Sometimes you just need to get to the answer
Can't we just get the formula and how to use it?
Your explanation is more complicated
I'm not really sure how using the f word relates with being in the university.