SOLUTION: Entries of a 2*2 determinant are chosen from the set (-1,1).The probability that determinant has zero value is ?

Question 1094961: Entries of a 2*2 determinant are chosen from the set (-1,1).The probability that determinant has zero value is ?
Answer by ikleyn(52809) (Show Source): You can put this solution on YOUR website!
.

The number of 2x2 matrices comprised of numbers +/-1 in each entry/position is  = 16.


Of them, exactly 8 matrices


,  ,  ,  ,   ,  ,    and   


with identical or proportional rows have the determinant equal to zero.



So, the probability under the question is  = .

Solved.

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