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Ex 3.1, 10 - Number of matrices of order 3 x 3, entry 0 or 1 - Formation and order of matrix

  1. Chapter 3 Class 12 Matrices
  2. Serial order wise
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Ex3.1 , 10 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 Let A be the matrix of 3 × 3 i.e. [■8(𝑎_11&𝑎_12&𝑎_13@𝑎_21&𝑎_22&𝑎_23@𝑎_31&𝑎_32&𝑎_33 )]_(3 × 3) There are total 9 elements Each item can be filled in 2 ways (0 or 1) Hence, Number of matrices possible = 2 × 2 × 2 ……. × 2 = 29 = 512

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