Matrices

Question

The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is.
  • 27
  • 18  
  • 81
  • 512

Answer

D.

512

A matrix of order 3 x 3 has 9 elements. Now each element can be 0 or 1.
∴ 9 places can be filled up in 29 ways
required number of matrices = 29
=2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
=512 ,
∴  (D)    is correct answer.

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