What is the number of all possible Matrix with entry Zero OR one if the order of matrix is 3×3

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The number of all possible matrices with entry zero or one, given an order of 3x3, is:

2⁹ = 512

Explanation steps

To calculate the number of all possible matrices with entries zero or one, we need to determine how many choices we have for each entry in the matrix.

For a 3x3 matrix, we have 9 entries in total. Each entry can be either zero or one, so for each entry, we have two choices. Therefore, the total number of possible matrices is given by 2 raised to the power of the number of entries.

In this case, the number of entries is 9, so the number of possible matrices is 2^9 = 512.