if each element of a second order determinant is either 0 or 1 what is probability that value is

Asked by 15th February 2009, 10:47 AM

Answered by 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 Expert 17th February 2009, 5:06 PM

Rate this answer

You have rated this answer /10

Report an issue

Previous Question

Next Question

Your answer has been posted successfully!

Free related questions

Evaluate : $integral subscript 0 superscript pi space fraction numerator space x space d x over denominator 1 plus space e sin x end fraction$ ,

Answer is $fraction numerator pi space cos to the power of negative 1 end exponent space x over denominator square root of 1 minus e squared end root end fraction$

16th March 2017, 2:21 PM

if A and B are two independent events,then the probability of occourrence at least one of A and Bis given by 1-p(A')p(B')

15th March 2017, 9:03 PM

Q) $I f space sum from n equals 1 to infinity of c o t to the power of negative 1 end exponent open parentheses 2 plus fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction close parentheses equals tan to the power of negative 1 end exponent a comma t h e n space apostrophe a apostrophe space i s space e q u a l space t o left parenthesis A right parenthesis 1 space space space left parenthesis B right parenthesis 2 space space space space left parenthesis C right parenthesis 3 space space space space left parenthesis D right parenthesis 4$