The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is

Question

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

Tardigrade Admin · Accepted Answer

In a 3 × 3 matrix, there are 9 elements and it is given that each element can take two values. So, the total number of matrices having 0 and 1 as their elements is 29=512.

Q. The number of all possible matrices of order $3 \times 3$ with each entry 0 or 1 is

27

18

81

512

In a $3 \times 3$ matrix, there are 9 elements and it is given that each element can take two values. So, the total number of matrices having 0 and 1 as their elements is $2^{9} = 512$ .

Q. The number of all possible matrices of order 3×3 with each entry 0 or 1 is

27

18

81

512

In a 3×3 matrix, there are 9 elements and it is given that each element can take two values. So, the total number of matrices having 0 and 1 as their elements is 29=512.

Q. The number of all possible matrices of order $3 \times 3$ with each entry 0 or 1 is

In a $3 \times 3$ matrix, there are 9 elements and it is given that each element can take two values. So, the total number of matrices having 0 and 1 as their elements is $2^{9} = 512$ .