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**Fast Polar Decomposition Of A sTrAnGe Square Matrix --!!Help!!**

## Homework Statement

**| 2 0 4 |**

| 0 1 0 | = A

| 3 0 2 |

| 0 1 0 | = A

| 3 0 2 |

**Calculate the Polar Decomposition of A:**[tex]A = LP[/tex]

[tex]L =^{t}L > 0[/tex] L is symmetric and positive defined

[tex] P^{t}P = I[/tex]

[tex]^{t}P=P^{-1}[/tex] P is an isometry: Transpose of P is egual to P^-1

Is there a quick way to do this?????

I know how to do it but is very slow, and I think that must exists a quick way or some tricks to resolve the exercise, infact as you can see the

**matrix is very particular**...

Help Me please....Tnx