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# What are the number of all possible matrices of 3 x 3 with each entry 0 or 1.

Toolbox:
• Number of matrices will be number of ways in which p can be written mn where mn and nm should be counted as two different ways.
Given:
There are 9 entries in a $3\times 3$ matrix.
Each entry can be filled with 0 or 1.
9 places can be filled in $2^9$=512.
Number of such matrices = 512.