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June 6th, 2013, 02:50 AM   #1
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Matrix - problem

Dear all,

I have some problems with matrix calculations. I have equation X^T * X = A. Matrix X and A are symmetrical and they are 3 x 3. I know the matrix A. How to calculate matrix X from the equation X^T * X = A ???

Regards,

Michal
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June 6th, 2013, 04:27 PM   #2
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Re: Matrix - problem

If X is symmetrical then X^T= X, so X^TX= X^2= A.

Let

Then

So if A is given as, say,
We must have , , ,
, ,

Six quadratic equations to solve for a, b, c, d, e, f.
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June 11th, 2013, 02:23 AM   #3
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Re: Matrix - problem

Thanks for your response. Yes, I will have 6 quadratic equations to solve for a, b, c, d, e, f. I started to solve it, but it's not easy to solve such quadratic equations.
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