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
(a)
−1
(b)
0
(c)
2
(d)
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
(a)
−1
(b)
0
(c)
2
(d)
Question ID - 57555 | SaraNextGen Top Answer
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
(a)
−1
(b)
0
(c)
2
(d)
|
The greatest value of c x − cy − cz = 0 cx − y + cz = 0 cx + cy − z = 0 has a non-trivial solution, is |
|||
|
(a) |
−1 |
(b) |
0 |
|
(c) |
2 |
(d) |
|
1 Answer
127 votes
Answer Key / Explanation : (d) -
If the system of equations has non-trivial solutions, then
= 0
⇒ (1 − c2) + c ( −c − c2) − c (c2 + c) = 0
⇒ (1 + c) (1 − c) − 2c2(1 + c) = 0
⇒ (1 + c) (1 − c − 2c2) = 0
⇒ (1 + c)2 (1 − 2c) = 0
⇒ c = −1 or 
127 votes
Answer Link
127