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Yes its a weird problem. You need to have an algorithm to solve your problem.
If you have that, then you write the code to implement it. If you have problems coding some part of the algorithm, post...

Given this 3X3 array:
A B C
B C B
C A C

What would you get if you remove A here?


What are the mappings for each element in the old array to each element in the new array?

What are the rules for creating the new array? Your first example shows a 3x3 array being converted to a 2x3 array. Why not a 3X2 array?
Can there be partially filled rows or columns?

For these...