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Write the Number of All Possible Matrices of Order 2 × 2 with Each Entry 1, 2 Or 3. - Mathematics

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Write the number of all possible matrices of order 2 × 2 with each entry 1, 2 or 3.

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Solution

As matrices is of order 2 × 2, so there are 4 entries possible.

Each entry has 3 choices that are 1, 2 or 3

So, number of ways to make up such matrices are 3 × 3 × 3 × 3 i.e, 34 times or 81 times.

Concept: Order of a Matrix
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