Agness

I am studying a Kronecker product to solve a  task in signal processing.
it is a full correlation matrix of the channel.

I know that 

my question is: How to find R_t ,  R_r? $

 I can find a solution according to Wikipedia article about that ( operation of the Kronecker product). The answers are a unit matrix (2x2) and 0,8*matrix of ones (3x3).
But I would like to understand a mathematic calculation. This matrix is easy for calculation without knowing about it.
I hope that someone can provide me with more information about the calculation or can explain to me how to find the two matrices of the Kronecker product

I need really your help. I am trying to understand block diagonalization algorithm for multi-user MIMO system. But I guess My main problem is I don't understand the mathematics apparat of calculation SVD and other stuff.
let's assume that the channel matrix looks like:

Now I would like to calculate HP, where P is a projection matrix into the null space of H.

Question 1: What means?

**My suggestion:**
= 1/2 (1 1 1 1), it is the first row V^H

Question 2: Can someone explain me this

PS please provide me the exaples