Grade Upto college levelAlgebra
The number of all possible matrces of order 3 x 3 with each entry 0 or 1
1 Answer
Latika Leekha
We are required to find the total number of matrices with each entry as 0 or 1.
A square matrix of order 3 has 3 x 3 = 9 entries.
The position (1, 1) can be filled by either 0 or 1. Hence, the position can be filled in two ways.
Similarly every entry can be filled in two ways.
Thus the possible number of matrices is given by 29 = 512.
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Latika Leekha
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