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I have a $3\times 3$ square matrix. I want to find out how many unique matrices I can create if each of the elements can be either $1$ or $0$.

How does the equation change if have $N\times N$ matrix?

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    Sorry I incorrectly labeled this question. Its actually an array, not a matrix.2011-01-11

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If you have $2$ choices for each of $9$ positions in the matrix, there are $2^9$ different possibilities. And if there are $N^2$ positions,...

Is the matrix just an array of numbers, or is there more structure to the problem?

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    This is wh$a$t I was looking for, 2^(N*N). It is just an array. Thanks!2011-01-11