Math Is Fun Forum

juantheron

Member

Registered: 2011-10-19

Posts: 312

max of determinant

maximum value of 3rd order determinant whose element are choosen from the set {0,1}

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: max of determinant

You want a Hadamard's bound here.

The largest determinant is supposed to be 2 for n = 3.

Here is one:

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

anonimnystefy

Real Member

From: Harlan's World

Registered: 2011-05-23

Posts: 16,049

Re: max of determinant

You can get the exact opposite of a diagonal matrix for that. The main giagonal is all zeros and the rest are ones.

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“Here lies the reader who will never open this book. He is forever dead.
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment
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juantheron

Member

Registered: 2011-10-19

Posts: 312

Re: max of determinant

Thanks bobbym and anonimnystely

i want explanation for the line

You can get the exact opposite of a diagonal matrix for that. The main giagonal is all zeros and the rest are ones.

to bobbym

what is Hadamard's bound

Thanks

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: max of determinant

The first formula is Hadamards bound.

You can get everything you need from here:

http://mathworld.wolfram.com/HadamardsM … oblem.html

http://en.wikipedia.org/wiki/Hadamard%2 … nt_problem

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.