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???