If m×n there exists an lower triangular matrix and an orthogonal matrix such that Given the vector show there is a Givens rotation, such that This type of rotation eliminates elements from...

If

^m
×n

there exists an

lower triangular matrix and an

orthogonal matrix

such that

Given the

vector

show there is a Givens rotation,
such that




This type of rotation eliminates elements from columns.

Develop an algorithm using Givens rotations that computes an

decomposition of

for any

matrix.

Write a function givensmulpost
that affects only columns

and

and zeros out

in row

The function givensparms does not change.