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The Number of All Possible Matrices of Order 3 × 3 with Each Entry 0 Or 1 is (A) 27 (B) 18 (C) 81 (D) 512 - Mathematics

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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

MCQ

Solution

 512 

There are 9 elements in a 3x  3 matrix and one element can be filled in two ways, either with 0 or 1.

Thus,

Total possible matrices =

\[2^9\] = 512
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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 27 | Page 68

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