To reinforce your understanding of using Householder reflections to find the decomposition, it is helpful to execute the algorithm step-by-step. Here are MATLAB statements that explicitly perform the...

To reinforce your understanding of using Householder reflections to find the

decomposition, it is helpful to execute the algorithm step-by-step. Here are MATLAB statements that explicitly perform the

decomposition of the matrix

The function houseparms in the book software distribution computes

and

for the Householder reflection

_u

that zeros out all the elements of

except

Study the code, and the explicitly construct the

decomposition of the matrix