QM Sankar 2nd edition -- gram schmidt process on example 1.3.2

[bugatti79]

Hi

I was trying the gram schmidt process on example 1.3.2 page 43 as shown below
u1=(3,0,0), u2=(0,1,2), u3=(0,2,5)v1=u1=(3,0,0)
v2=u2-proj_(w1) u2=(0,1,2)-((<0,1,2><3,0,0>)/9)(3,0,0)

However the top line inner product gives 0...

 

[JorisL]

Lets try to walk you through this.
First do you know what you are actually doing? i.e. explain the gram-schmidt process in a few lines

Second, have you understood the theorem? What does it tell you? (bonus: why do we need it)

And finally why have you used different notation?
I wouldn't advise changing notation before you are certain you really get what is happening.

 

[bugatti79]

I have been studying this further. It is clearer to me now and I now know how to proceed with this problem. Thanks