Question:
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
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
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
Updated On: Jan 31, 2026
- a = 8, b = 14
- a = 4, b = 12
- a = 8, b = 12
- a = 4, b = 14
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The Correct Option is D
Solution and Explanation
The correct option is (D): a = 4, b = 14
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