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Question
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is ______.
Options
27
18
81
512
Solution
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is 512.
Explanation:
The given matrix of order 3 × 3 has 9 elements and each of these elements can be either 0 or 1.
Now, each of the 9 elements can be filled in two possible ways.
Therefore, by the multiplication principle, the required number of possible matrices is (2)9 = 512
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