Matrices And Determinants

মনে করো, \(\alpha,\beta\) সমীকরণ \(a{x^2} + bx + c = 0,a,b,c\) এর দুটি বীজ, যেখানে a, b, c বাস্তব এবং \({s_n} = {\alpha ^n} + {\beta ^n}\) ও \(\left| {\matrix{ 3 & {1 + {s_1}} & {1 + {s_2}} \cr {1 + {s_1}} & {1 + {s_2}} & {1 + {s_3}} \cr {1 + {s_2}} & {1 + {s_3}} & {1 + {s_4}} \cr } } \right| = k{{{{(a + b + c)}^2}} \over {{a^4}}}\) তাহলে \(k =\)