Expression for the Norm on R^2?

Linear spaces and subspaces, linear transformations, bases, etc.

Expression for the Norm on R^2?

Postby jmccarty on Wed Mar 12, 2014 3:30 pm

What is the expression for the norm on R2 defined by the inner product below?

f(u, v) = 7u1v1 + 4u2v2

I thought about finding the integral for the square of the expression but am otherwise drawing a blank.
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Re: Expression for the Norm on R^2?

Postby maggiemagnet on Wed Mar 12, 2014 5:16 pm

jmccarty wrote:What is the expression for the norm on R2 defined by the inner product below?

f(u, v) = 7u1v1 + 4u2v2

I thought about finding the integral for the square of the expression but am otherwise drawing a blank.

What definition did they give you for the norm? I'm not familiar with a definition that uses integrals. I'm used to stuff more like this. Thanks!
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Re: Expression for the Norm on R^2?

Postby jmccarty on Wed Mar 12, 2014 5:36 pm

The notes I have say to use the Euclidean norm if the problem merely says to find the norm.

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Re: Expression for the Norm on R^2?

Postby maggiemagnet on Wed Mar 12, 2014 10:06 pm

Okay. How does your book's definition of "norm" differ from what was at the link I gave (or this other link)? Thanks!
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