Ex 3.1, 10.jpg

  1. Chapter 3 Class 12 Matrices
  2. Concept wise

Transcript

Ex3.1 , 10 The number of all possible matrices of order 3 ร— 3 with each entry 0 or 1 is: (A) 27 (B) 18 (C) 81 (D) 512 Let A be the matrix of 3 ร— 3 i.e. [โ– 8(๐‘Ž_11&๐‘Ž_12&๐‘Ž_13@๐‘Ž_21&๐‘Ž_22&๐‘Ž_23@๐‘Ž_31&๐‘Ž_32&๐‘Ž_33 )]_(3 ร— 3) There are total 9 elements Each item can be filled in 2 ways (0 or 1) Hence, Number of matrices possible = 2 ร— 2 ร— 2 โ€ฆโ€ฆ. ร— 2 = 29 = 512 So, D is the correct answer

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.