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## Homework Statement

(a) Find matrix element ##M_{ij}##

(b) Show that ##x^j## is an eigenvector of ##M_{ij}##

(c) Show any vector orthogonal to ##x^j## is also an eigenvector of ##M_{ij}##

## Homework Equations

## The Attempt at a Solution

__Part(a)__

[/B]

[tex]\frac{\partial^2 \Phi}{\partial x^i x^j} = -\frac{2GM_i}{(x^i)^3} \delta_{ij} [/tex]

__Part(b)__

[tex] M_{ij}x_j = \frac{-2GM_i}{(x^i)^2} [/tex]

How do I show it is an eigenvector? It is clearly not..