1. Tardigrade
  2. Question
  3. Mathematics
  4. The number of all the possible matrices of order 2 × 2 with each entry 0, -1 or 2 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

Matrices

Solution:

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 $3^4 = 81$.