Use the Gram-Schmidt process to find an orthonormal basis
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Q. Let S={u_1,u_2,u_3 } with the vectors defined below. S is a basis for R3. Use the Gram-Schmidt process to get an orthonormal basis.
u_1=(1,1,1) u_2=(0,1,1) u_3=(0,0,1)
Every nonzero finite-dimensional inner product space has an orthogonal basis.
#Orthonormal #LinearAlgebra #Projection
Пікірлер: 25
At 2:44 , 1-(2/3) is 1/3. So v3 will be (0, -1/root 2, -1/root 2)
Finally somebody that actually explains how to do it in a simple way! Thank you!
Sir, you just saved my quizzes score, thank you for this simple and easy to understand guide
This video helps me a lot...Thank You sir
OMG your sum came to my exam same values
great video helped a lot
Super helpful 🙏
Thanks so much really helpful
1 - (2/3) isn't negative
@StudyForceOnline
4 жыл бұрын
*My mistake.* Luckily, the rest of the process before and after is correct.
@itzelcastaneda6214
7 ай бұрын
@@StudyForceOnline just saw this.
Effective and time effective
thanks you for this explanation sir😄😄
thanks sir for the help. but I don't understand why you ignored the negative sign.
Very useful video, but I just wanted to ask why at 1:22 did you mention the ^2 on the denominator if you were going to take norm and square root it anyway? Isn't is pointless to denote ||v||^2 if the square and square root cancel out? I'm definitely missing something here.
Condom ad was coming during my study time🙂🙂🙂🙂
I have seen where you ignore minus sign!!why that ?or is a mistake 🤷♀️
@tuyizereangelique8839
Жыл бұрын
There at sub2.i think it should be( -2/3,1/2,1/3).thx
There was a mistake when subtracting the numbers.1-2/3 must be equal to 1/3 and not -1/3
If you make every number a one or a zero, how is anyone supposed to keep track of which numbers go together? Key steps are being glossed over because 1x1 is obviously 1. Why is every video on this subject as well as my professors so lazy?
at 2:43, how is 1-2/3 = -1/3? isn't the same as 3/3-2/3=1/3? Am I missing something?
@StudyForceOnline
7 ай бұрын
1 - (2/3) = 1/3
@itzelcastaneda6214
7 ай бұрын
just read the other comments, thank you for the clarification!
sir or anyone please can you explian abuout the last one at sub3 why the result is (0, -1/2, 1/2)??
@yonafat_
3 жыл бұрын
mine is (-1/3, -1/2, 1/2) because they have 3 (-), if two of them match and the last one still minus (-) so, that my result sir