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Dr. belisarius
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I would use Delete[] for the purpose of deleting selected rows:

Delete[Array[C, {4, 4}], {{2}, {3}}]  (* {{C[1, 1], C[1, 2], C[1, 3], C[1, 4]}, {C[4, 1], C[4, 2], C[4, 3], C[4, 4]}} *) 

To delete columns, you could do a preliminary transposition first...

I would use Delete[] for the purpose of deleting selected rows:

Delete[Array[C, {4, 4}], {{2}, {3}}]   {{C[1, 1], C[1, 2], C[1, 3], C[1, 4]}, {C[4, 1], C[4, 2], C[4, 3], C[4, 4]}} 

To delete columns, you could do a preliminary transposition first...

I would use Delete[] for the purpose of deleting selected rows:

Delete[Array[C, {4, 4}], {{2}, {3}}] (* {{C[1, 1], C[1, 2], C[1, 3], C[1, 4]}, {C[4, 1], C[4, 2], C[4, 3], C[4, 4]}} *) 

To delete columns, you could do a preliminary transposition first...

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I would use Delete[] for the purpose of deleting selected rows:

Delete[Array[C, {4, 4}], {{2}, {3}}] {{C[1, 1], C[1, 2], C[1, 3], C[1, 4]}, {C[4, 1], C[4, 2], C[4, 3], C[4, 4]}} 

To delete columns, you could do a preliminary transposition first...