Converting a Matrix into an Orthonormal Basis: Solving the Gram-Schmidt Problem

[astonmartin]

Homework Statement

So I need to use Gram Schmidt to convert a 3x3 matrix A into an orthonormal basis. This is straightforward enough. But then I need to 'keep track of your steps to produce an upper triangular matrix B so that AB is an orthogonal matrix.' I'm not sure what this second part entails. Is this a QR factorization problem?

Homework Equations

The Attempt at a Solution

 

[astonmartin]

bump...anyone?