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matrix - How to do nor on matrices?



Supose I have matrices a b and c like


a = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}};
b = {7, 8, 9};
c = {{1},{4},{7}};

I want to get {{1, 2, 3}, {4, 5, 6}} from a and b, also {{2,3},{5,6},{8,9}} from a and c ? In other words, I want to delete the part which is the same as b or c from a.




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