we choose a basis B={v1=(1,0)v2=(1,1)} from

and define

why does the prof say that

how did he get those formulas?

and i cant se the structure of our chosen basis here?

how to see it in thos formulas

?

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- July 22nd 2011, 08:04 AMtransgalacticinner product not by standart basis
we choose a basis B={v1=(1,0)v2=(1,1)} from

and define

why does the prof say that

how did he get those formulas?

and i cant se the structure of our chosen basis here?

how to see it in thos formulas

? - July 22nd 2011, 10:16 AMFernandoRevillaRe: inner product not by standart basis
- July 22nd 2011, 10:29 AMtransgalacticRe: inner product not by standart basis
if x=(x1,x2) then x could be represented as

only if v1=(1,0) v2=(0,1)

but here we have a different basis not a standart one.

so our coefficient is not x1 x2

?? - July 22nd 2011, 12:21 PMFernandoRevillaRe: inner product not by standart basis
Perhaps this simple example will help you. Consider and . Prove that and . According to the given definition of the inner product we have .

- July 22nd 2011, 01:04 PMtransgalacticRe: inner product not by standart basis
ok so if i will go by your example

(x,y)_B=x1y1+x2y2=5*2+2*1=12

x=(5,2)=5(1,0)+2(1,1)=(7,2)

i try to follow the logic but i cant understand this term - July 22nd 2011, 11:09 PMFernandoRevillaRe: inner product not by standart basis
- July 22nd 2011, 11:41 PMtransgalacticRe: inner product not by standart basis
i know

i got here some thing wrong

just cant understand this basis of inner product

i am looking for a tutorial with basic examples