Matrices and Determinants 4 Question 6
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6. The greatest value of for which the system of linear equations ,
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####6. The greatest value of
3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed
has a non-trivial solution, is
(a) -1
(b)
(c) 2
(d) 0
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Answer:
Correct Answer: 6. (b)
Solution:
Key Idea: A homogeneous system of linear equations have non-trivial solutions if
Given system of linear equations is
and
We know that a homogeneous system of linear equations have non-trivial solutions if
Clearly, the greatest value of