Let λ and α be real. Find the set of all values of λ for which the system of linear equations λx+(sin α)y+(cos α)z=0, x+(cos α)y+(sin α)z=0and −x+(sin α)y−(cos α)z=0 has a non - trivial solution. For λ=1, the values of α are ___. (n belongs to integers)

Let λ and α be real. Find the set of all values of λ for which the

1.	Let λ and α be real. Find the set of all values of λ for which the system of linear equations λx+(sin α)y+(cos α)z=0, x+(cos α)y+(sin α)z=0and −x+(sin α)y−(cos α)z=0 has a non - trivial solution. For λ=1, the values of α are ___. (n belongs to integers)
Answer» Let $λ a n d α$ be real. Find the set of all values of $λ$ for which the system of linear equations $λ x + (s i n α) y + (c o s α) z = 0, x + (c o s α) y + (s i n α) z = 0 a n d - x + (s i n α) y - (c o s α) z = 0$ has a non - trivial solution. For $λ = 1$ , the values of $α$ are ___. ( $n$ belongs to integers)