- #1

sphlanx

- 11

- 0

## Homework Statement

We are given a linear map f, f:R

^{2}xR

^{2}->R. f has the following properties:

1)It is linear for the changes of the first variable

2)It is linear for the changes of the second variable

3)f((3,8),(3,8))=13

We are asked to say if f is anyhow related to the normal inner product of R

^{2}

## Homework Equations

## The Attempt at a Solution

I know that the inner product of R2 is a bilinear map like f. If f actually WAS the linear product then it should be f((3,8),(3,8))=73. Perhaps I could say that f is the inner product, multiplied by some value? I don't really understand the question, but I have posted it exactly as stated.