Matrices and Determinants 4 Question 14
15. The system of linear equations
(2016 Main)
(a) infinitely many values of
(b) exactly one value of
(c) exactly two values of
(d) exactly three values of
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Answer:
Correct Answer: 15. (d)
Solution:
- Given, system of linear equation is
Note that, given system will have a non-trivial solution only if determinant of coefficient matrix is zero,
Hence, given system of linear equation has a non-trivial solution for exactly three values of
