Grade 12Algebra
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
?
1 Answer
Latika Leekha
We are required to find the number of all possible matrices of order 3 × 3 with each entry 0 or 1.
The number of entries in a square matriox of order 3 x 3 = 9.
we consider teh position (1, 1).
This position can be filled in 2 ways, with either 0 or 1.
Hence, the same holds true for all the entries.
Hence, the total number of possible entries = 29
= 512.
This is the required answer.
Thanks & Regards
Latika Leekha
askIITians Faculty
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