Question
Engineering Mathematics Question on Systems of linear equations
Consider the system of linear equations
x + 2y + z = 5
2x + ay + 4z = 12
2x + 4y + 6z = b
The values of a and b such that there exists a non-trivial null space and the system admits infinite solutions are
A
a = 8, b = 14
B
a = 4, b = 12
C
a = 8, b = 12
D
a = 4, b = 14
Answer
a = 4, b = 14
Explanation
Solution
The correct option is (D): a = 4, b = 14