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The Number of Possible Matrices of Order 3 × 3 with Each Entry 2 Or 0 is - Mathematics

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Question

The number of possible matrices of order 3 × 3 with each entry 2 or 0 is 

Options

  • 9

  • 27

  • 81

  • none of these

MCQ

Solution

In a matrix of order 3 × 3, there are 9 elements.

Each element of the matrix have two options (either 2 or 0).

Hence, total number of possible matrices are 29.

Hence, the correct option is (d).

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Chapter 5: Algebra of Matrices - Exercise 5.7 [Page 68]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.7 | Q 34 | Page 68

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