1. Given the four vectors T T T , and T find an orthonormal basis that spans the same subspace using the Givens decomposition. 2. Develop a MATLAB function using Householder reflections that...

1.

Given the four vectors

<sup>T


T


T</sup>
, and

^T

find an orthonormal basis that spans the same subspace using the Givens

decomposition.

2.

Develop a MATLAB function

using Householder reflections that returns one of a set of possibilities according to the format of the calling sequence.

Use the MATLAB constructs

If you are not familiar with these, consult the MATLAB documentation. Test your function by constructing a
and a

matrix and using all the options on each.