Question
Mathematics Question on Operations on Sets
The system of equations
– kx + 3 y – 14 z = 25
–15 x + 4 y – kz = 3
–4 x + y + 3 z = 4
is consistent for all k in the set
A
R
B
R – {–11, 13}
C
R – {13}
D
R – {–11, 11}
Answer
R
Explanation
Solution
The correct option is(D): R – {–11, 11}.
The system may be inconsistent if
Hence if system is consistent then
K∈R−{11,−11}