Gram Schmidt problem...help!

[astonmartin]

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?

 

[astonmartin]

bump...anyone?

 

[galactus]

Yes, it would appear that is what it is....a QR Decomp.

Remember, an orthogonal matrix is \(\displaystyle A^{-1}=A^{T}\).

Also, the determinant of an orthogonal matrix is -1 or 1.