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6. What is the cardinality...

6. What is the cardinality of the set of 2 x 2 matrices over N? Prove your answer.

Note: a 2 x 2 matrix over N is a 2 x 2 matrix whose elements are all natural numbers, for example

1 2 17 82

3 4 and 1 1 are both 2 x 2 matrices over N

Note: a 2 x 2 matrix over N is a 2 x 2 matrix whose elements are all natural numbers, for example

1 2 17 82

3 4 and 1 1 are both 2 x 2 matrices over N

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