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**limpfisch****Member**- Registered: 2012-05-08
- Posts: 11

Perform a householder transformation followed by a plane rotation to trasform the following matrix A into an upper triangular matrix R.

A= 4 3 0

4 3 6

2 6 5

This is not covered in my textbook

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 90,799

Hi limpfisch;

I thought a householder transformation was only for symmetric matrices.

A househoulder transformation is designed to produce a tridiagonal matrix that has the same eigenvalues as the original matrix. Usually a QR is performed on it afterwards. Anyway, this is a lot of computation and is best done by a computer.

Or did you mean a householder matrix?

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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