] ⇒ For the given equations to have no solution, |A| = 0 ⇒[
k
1
1
1
k
1
1
1
k
]=0 ⇒k(k2−1)−1(k−1)+1(1−k)=0 ⇒k3−k−k+1+1−k=0 ⇒k3−3k+2=0 ⇒(k−1)(k−1)(k+2)=0 ⇒k=1,−2 If we put k = 1 in the above given equations, then all the equations will become the same. Hence, the given equations have no solution if k = - 2.