Re: DSE 2012 paper discussion-Please join

Posted by ashutosh on May 31, 2014; 3:20am
URL: http://discussion-forum.276.s1.nabble.com/DSE-2012-paper-discussion-Please-join-tp7590218p7591135.html

Hey Vaibhav.

Can u explain how did u get this probability- 6/16  10/16

For q44.....when system of equations is homogeneous then there can be only two possibilities for solution, a unique solution (x=0) and infinitely many solutions(x≠0)
If A is coefficient matrix and x is variable vector ie Ax=0
This can be only satisfied when x=0 A≠0, the case of unique solution and when x≠0 then A=0 ie the case of infinitely many solutions
Probability of unique solution ie x=0 A≠0 is 6/16
Probability of infinitely many solutions A=0, is 10/16
For atleast one solution,  6/16 +10/16 =1