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Q#1
Linear Algebra
GATE EE 2025
MCQ
+1 mark
-0.33 marks
Consider the set
of points
which minimize the real valued function
Which of the following statements is true about the set S?
The number of elements in the set S is finite and more than one.
The number of elements in the set S is infinite.
The set S is empty.
The number of elements in the set S is exactly one.
Explanation:
Thus, 
Calculating stationary points: 


Let

Let

where
is an arbitrary constant.
Thus, these are infinitely many stationary points.
Option (b) is correct.
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