Determinants Matrices Question 13

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

Options:

A) 18

B) 512

C) 81

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  • [b] There are in total 9 entries and each entry can be selected in exactly 2 ways. Hence, the total number of all possible matrices of the given type is $ 2^{9} $ .