Im trying to understand the Gram-Schmidt process but i cant see how the part in this attatchment works?

Could you please describe what's going on here?

Thanks for any help in advance

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- Nov 4th 2009, 11:44 AMBigBoss22Gram-Schmidt Process
Im trying to understand the Gram-Schmidt process but i cant see how the part in this attatchment works?

Could you please describe what's going on here?

Thanks for any help in advance - Nov 4th 2009, 07:47 PMtonio
What is inside that parentheses is then scalar product (inner product) of those two vectors, the result of which is 4 which then multiplies the rightmost matrix and then this is substracted from the first one.

In general, if you have two linearly independent vectors $\displaystyle u,v\,,\,\,with\,\,\Arrowvert u \Arrowvert^2=<u,u>=1$, then $\displaystyle v-<u,v>u$ is an orthogonal vector to $\displaystyle u$, as can easily be checked (here, $\displaystyle <u,v>$ denotes the inner product of the vectors)

Tonio - Nov 4th 2009, 10:42 PMBigBoss22
Thanks bro, didn't see how it got to 4, but now i understand