In this problem, you will investigate a special type of square matrix called an upper Hessenberg matrix. Such a matrix has the property ij and is often called almost upper triangular.  Give an example...

In this problem, you will investigate a special type of square matrix called an upper Hessenberg matrix. Such a matrix has the property

_ij
and is often called almost upper triangular.

 Give an example of a
 and a
 upper Hessenberg matrix.

 Develop an algorithm for computing the
 decomposition of an upper Hessenberg matrix.
 Use Givens rotations. How many will be necessary

 Show that the flop count is

²