Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 84,371

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 have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

**Online**

Pages: **1**