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

Ex 3.1, 10 - Chapter 3 Class 12 Matrices - Part 2

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Ex 3.1, 10 The number of all possible matrices of order 3 Γ— 3 with each entry 0 or 1 is: (A) 27 (B) 18 (C) 81 (D) 512 Let A be the matrix of 3 Γ— 3 i.e. [β– 8(π‘Ž_11&π‘Ž_12&π‘Ž_13@π‘Ž_21&π‘Ž_22&π‘Ž_23@π‘Ž_31&π‘Ž_32&π‘Ž_33 )]_(3 Γ— 3) There are total 9 elements Each item can be filled in 2 ways (0 or 1) Hence, Number of matrices possible = 2 Γ— 2 Γ— 2 ……. Γ— 2 = 29 = 512 So, D is the correct answer

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