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
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.