0 votes 0 votes The foll sys of homogeneous eqn 2x + y +2z =0 x + y + 3z=0 4x + 3y +bz =0 has non trivial sol then value of b is A_i_$_h asked Sep 25, 2017 A_i_$_h 622 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply akash.dinkar12 commented Sep 25, 2017 reply Follow Share 8??? 0 votes 0 votes A_i_$_h commented Sep 25, 2017 reply Follow Share yes, how? 0 votes 0 votes akash.dinkar12 commented Sep 25, 2017 reply Follow Share So, in order to find a non-trivial solution, Rank(A) should be less than a number of unknown variables. here in our case, the number of unknowns = 3, so rank(A) <=2, so here if we put b-8 =0 then rank (A) will be 2 and then the nontrivial condition will also be satisfied. So b=8... 0 votes 0 votes Please log in or register to add a comment.