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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

Hello MHB,

(I Hope the picture is read able)

this is a exemple on My book ( i am supposed to find a singular value decomposition) well My question is in the book when they use gram-Schmidt to extand they use \(\displaystyle (u_1,u_2,e_3)\) but I would use \(\displaystyle (u_1,u_2,e_1)\) cause it is orthogonal against u_2 which make the gram-Schmidt easy! does My method works as well?

Edit: I am pretty sure it works cause it is orthonormal to the other! Just want confirmed!

Regards,

\(\displaystyle |\pi\rangle\)

(I Hope the picture is read able)

this is a exemple on My book ( i am supposed to find a singular value decomposition) well My question is in the book when they use gram-Schmidt to extand they use \(\displaystyle (u_1,u_2,e_3)\) but I would use \(\displaystyle (u_1,u_2,e_1)\) cause it is orthogonal against u_2 which make the gram-Schmidt easy! does My method works as well?

Edit: I am pretty sure it works cause it is orthonormal to the other! Just want confirmed!

Regards,

\(\displaystyle |\pi\rangle\)

Last edited: