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Q#1 Linear Algebra GATE EC 2024 NAT +1 mark -0 marks

Let  and  denote the set of real numbers and the three-dimensional vector space over it, respectively. The value of for which the set of vectors

Dose not form a basis of is__________.

Explanation:

Basis set of vectors is a linearly independent set and hence if the set does not form a basis then the matrix formed by its vectors should have determinant to be 0.

 

For the set to not form a basis,

 

 

 

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