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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.