Can someone explain to me Gram-Schimdt Orthogonalization??

Question

anonymous · Answer

@Psymon @Hero @wio or someone..?

anonymous · Answer

Do you want to know how it is done or what is the point of it?

anonymous · Answer

everything I should now about it...

tkhunny · Answer

Learn it.  Practice it.  Use it.  What else is there to know?

anonymous · Answer

i don't get it .. i'm learning it all by myself..

abb0t · Answer

I think you might find this lecture helpful. And if you still do not understand, maybe someone can help you understand better: http://www.math.psu.edu/mengesha/Math2025/Lecture7.pdf

anonymous · Answer

From what I remember, it basically involves making an orthonormal set of vectors from some given set of linearly independent vectors. This new set then spans the same vector space, but the orthogonality/-normality is somehow more useful (this is where my memory fades).

As for how to carry it out, I'd point you to the wikipedia page on it.

tkhunny · Answer

Once an inner product is defined,  orthogonality is established by a zero (0) inner product.  GS is throwing away the parts that aren't orthogonal.

anonymous · Answer

.... thank you for your help @tkhunny,@Sithsandgiggles and @abbot,
 i understand it now, a little bit(^_^)