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Math Help - find a norm on R2

  1. #1
    Junior Member
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    find a norm on R2

    find a norm on R2 for which||(0,1)||=1=||(1,0)|| but ||(1,1)||=0.000001


    hints: ||(a,b)|| = A |a+b|+B|a-b|

    by the hints i have A+B=1 and
    2A=0.000001
    then solved the equations system i get A=0.0000005
    B=1-A=0.9999995 then ||(a,b)|| = 0.000001|a+b|+0.9999995 |a-b|

    is it the
    answers???
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  2. #2
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    Re: find a norm on R2

    Quote Originally Posted by cummings123321 View Post

    hints: ||(a,b)|| = A |a+b|+B|a-b|, ..., i get A=0.0000005, ..., ||(a,b)|| = 0.000001|a+b|+0.9999995 |a-b|

    is it the
    answers???[/B]
    Everything looks good except that you seem to have slipped at the end, and replaced A with 0.000001 when you had just solved for A, and got A = 0.0000005. Other than that it looks good.
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