The greatest value of c ∈ R for which the system of linear equations
x – cy – cz = 0
cx – y + cz = 0
cx + cy – z = 0
Has a non-trivial solution, is:1
-1
2
\(\frac{1}{2}\)
3
2
4
0
The greatest value of c ∈ R for which the system of linear equations
x – cy – cz = 0
cx – y + cz = 0
cx + cy – z = 0
Has a non-trivial solution, is: