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The number of 3 x 3 non-singular matrices, with four entries as 1 and all other entries as 0 is

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a
6
b
at least 7
c
less than 4
d
5

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detailed solution

Correct option is B

The matrix 1    a    bc    1    de    f    1where exactly one of a, b, c, d, e, f is 1 and rest of them are zeros, is invertible.There are six such matrices.Also, the matrix 1    0    10    1    01    0    0 is invertible.Thus, there are at least 7 such matrices which are invertible.


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