1. What is the Moore-Penrose inverse of a nonzero column vector? Answer the same question for a row vector. 2. If is a full rank matrix, with show that satisfies the normal equations, where ...

1.

What is the Moore-Penrose inverse of a nonzero column vector?

Answer the same question for a row vector.

2.

If

is a full rank

matrix, with

show that

satisfies the normal equations, where

is any

vector. If

<sup>T

T

−1</sup>


is the minimum norm solution.

Show how to evaluate x without computing

<sup>T

−1</sup>

Is using this formula a reliable way to compute

Explain your answer.