CBSE Class 12-science Answered
if each element of a second order determinant is either 0 or 1 what is probability that value is
Asked by | 15 Feb, 2009, 10:47: AM
Expert Answer
let the matrix entries be a,b,c,d
then total no. of matrices = 24 (for each entry we have two choices 0 or 1 )
determinant of the matrix = ad - bc
it wil be positive only if a and both are 1 and either or both of b or c is zero.
the no. of such matrices will be 3. (a=1,d=1 and (b=0,c=0) / (b=0,c=1) / (b=1,c=0) )
so desired probability = 3/16
Answered by | 17 Feb, 2009, 05:06: PM
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