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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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