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Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is ______. - Mathematics

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Question

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is ______.

Options

  • 9

  • 27

  • 81

  • 512

MCQ
Fill in the Blanks

Solution

Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is 512.

Explanation:

Since each element aij can be filled in two days ways (with either '2' or '0'), total number of possible matrices is 29 i.e., 512.

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Chapter 3: Matrices - Exercise [Page 59]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 3 Matrices
Exercise | Q 54 | Page 59

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