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Questions › Mathematics › Vector spaces, rank and eigenvalues

Vector spaces, rank and eigenvalues: previous year questions

Asked 4 times in 1 exam across 2 years. Newest first.

Practise Vector spaces, rank and eigenvalues, easy to hard →

  1. IIT JAM 2022 Q6Let W be a subspace of a vector space ℝ³. Then which of the following sets of vectors forms a basis of W?
  2. IIT JAM 2022 Q41The sum of the eigenvalues of the square matrix [1 1 3; 1 5 1; 3 1 1] is _ (in integer).
  3. IIT JAM 2021 Q10Let ‖·‖ and ⟨·,·⟩ denote the standard norm and inner product in ℝⁿ. If u, v ∈ ℝ³ with ‖u‖ = ‖v‖ = 2 and the angle between u and v is π/3, then
  4. IIT JAM 2021 Q20Let W be the subspace of ℝ³ spanned by (0, -1, 2) and (2, -1, 0). Which one of the following vectors lies in W?