Recent content by rendinat

That has been my question, how can I show/prove that they are equal?

Aren't they equal and I get that max{|aij|}≤max{aii}

|aij|≤(aii +ajj)/2≤(max{aii} +ajj)/2 Is this what you mean? So I shouldn't do the steps I did to get to? max{|aij|}≤\frac{1}{2}max{aii}+\frac{1}{2}max{ajj}

I am trying to prove that max{|aij|} = max{|aii|} Maybe I am going about it incorrectly and that is the problem. Where would you begin to try to prove these are equal?

By proving that it is not greater in that instance still doesn't prove they are equal, does it?

But how does that help with the equality I need?

Homework Statement In a symmetric positive definite matrix, why does max{|aij|}=max{|aii|} Homework Equations |aij|≤(aii+ajj)/2 The Attempt at a Solution max{|aij|}≤max{(aii+ajj)/2 max{|aij|}≤max{aii/2}+max{ajj/2} max{|aij|}≤\frac{1}{2}max{aii}+\frac{1}{2}max{ajj} then I...