The number of all the possible matrices of order 2 × 2 with each entry 0, -1 or 2 is

Question

The number of all the possible matrices of order 2 × 2 with each entry 0, -1 or 2 is (A) 12 (B) 81 (C) 64 (D) none of these

Tardigrade Admin · Accepted Answer

There are in total 4 elements and each element can be chosen in exactly 3 ways. Hence, the number of all possible matrices of the said type is 34 = 81.

Q. The number of all the possible matrices of order 2 $\times$ 2 with each entry $0, - 1 or 2$ is

12

81

64

none of these

There are in total 4 elements and each element can be chosen in exactly 3 ways. Hence, the number of all possible matrices of the said type is $3^{4} = 81$ .

Q. The number of all the possible matrices of order 2 × 2 with each entry 0,−1or2 is

12

81

64

none of these

There are in total 4 elements and each element can be chosen in exactly 3 ways. Hence, the number of all possible matrices of the said type is 34=81.

Q. The number of all the possible matrices of order 2 $\times$ 2 with each entry $0, - 1 or 2$ is

There are in total 4 elements and each element can be chosen in exactly 3 ways. Hence, the number of all possible matrices of the said type is $3^{4} = 81$ .