question_answer 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  

Answer:

Number of elements of 3 × 3 matrix = 3 × 3 = 9 Number of ways to write 0 or 1 at one place = 2 Number of ways to write 0 or 1 at nine places = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 29 = 512 there are 512 possible matrices of order 3 × 3 with entries 0 or 1. is the correct answer.