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Linear Algebra: Orthonormal Basis 
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#1
Apr1411, 09:16 PM

P: 166

1. The problem statement, all variables and given/known data
Find an orthonormal basis for the subspace of R^4 that is spanned by the vectors: (1,0,1,0), (1,1,1,0), (1,1,0,1), (3,4,4,1) 3. The attempt at a solution When I try to use the GramSchmidt process, I am getting (before normalization): (1,0,1,0), (0,1,0,0), (1,0,1,2), (0,0,0,0). So obviously there is some mistake that I am making but I have checked this at least 3 times. Can someone help me and let me know if it is something on my end or the problem. Thank you. 


#2
Apr1411, 09:29 PM

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Without have actually worked it out fully, why do you think you made a mistake? The dimension of the subspace is less than 4. You are only going to get a number of orthonormal vectors equal to the dimension of the subspace.



#3
Apr1411, 09:33 PM

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#4
Apr1411, 09:35 PM

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P: 25,251

Linear Algebra: Orthonormal Basis



#5
Apr1411, 09:37 PM

P: 166




#6
Apr1411, 09:41 PM

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