A lookup function based on two criteria; one unique & one not unique to the lookup table

Hi,
I have a problem I'm stuck on. I'm trying to create a lookup formula based on two criteria. The first "category" criteria is a unique value while the second, "characteristic" criteria is not unique to the lookup table/array. I've attached an example sheet but will also include example text below:

''''''''''''''''''''''''''''''''''''''
Category 1
alpha
beta
Category 2
alpha
beta
gamma
Category 3
beta
epsilon
'''''''''''''''''''''''''''''''''''''
The lookup I'm trying to make would return, for example: Category 2 beta

Any insight into this problem is greatly appreciated.

Thank you

Apologies for the lack of clarity on my part.
The attached file contains the setup for my sheet: the categories and characteristics are in the same column, the characteristics are indented. There are also values assigned to the characteristics. The desired return is the value for a characteristic for a category.
I've uploaded another spreadsheet reflecting these clarifications and have provided another text example below:
''''''''''''''''''''''''''''''''''''''
Category 1
alpha .423
beta .233
Category 2
alpha .101
beta .202
gamma .305
Category 3
beta .456
epsilon .656
'''''''''''''''''''''''''''''''''''''

So an example return for a Category 2 Alpha would be .101

Sorry again for the confusion,
Thanks

sktneer & Mazzaropi,

Thank you both for your help. Both are workable solutions to my problem. Much appreciated.

Mazzaropi: I'm not sure what a Report Output is Vs a Database Layout but the example you've provided suites my needs.

Thanks