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**debjit625****Member**- Registered: 2012-07-23
- Posts: 101

This property is given in my book.

The square of any determinant is a symmetric determinant.

Well it works when I take a determinant say 3x3 and multiply it by itself using row to row multiplication.

But it fails if I multiply using row to column.

Thanks

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

Can I see an example?

**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.**

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**debjit625****Member**- Registered: 2012-07-23
- Posts: 101

I asked this question on other fourms but I didnt got any answer

Here is a link please read it https://www.physicsforums.com/threads/s … ic.873144/

Thanks

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

I am inclined to agree with fresh_42. A determinant is a scalar. It is one number.

For instance:

Symmetry in a number?

**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.**

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**debjit625****Member**- Registered: 2012-07-23
- Posts: 101

Well I too agree,but the problem is its not only in one book but rather more than one author is describing something like this.In that post I already gave some links to the books.

Debjit Roy

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The essence of mathematics lies in its freedom - Georg Cantor

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Matrices can be symmetric, determinants can not.

May I see your two calculations:

using row to row multiplication.But it fails if I multiply using row to column.

**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.**

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**Alg Num Theory****Member**- Registered: 2017-11-24
- Posts: 339
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Perhaps the book isn’t putting things very clearly. IMO what it’s trying to say is that the square of a determinant is the determinant of a symmetric matrix. For instance:

*Last edited by Alg Num Theory (2017-11-24 22:05:15)*

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