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MAKAUT Mathematics – IA (BS-M101) Practice: Calculus and Matrices
This includes
- 10 questions · 10 marks
- 20 minutes
- Language: English
About quiz
10 questions covering the five units of BS-M101 in the 2023-24 MAKAUT B.Tech syllabus: Beta and Gamma functions, mean value theorems, matrices and vector spaces.
Test details
10Questions
10Marks
20 minDuration
1Sections
10 questions · 1 mark each · no negative marking. Solutions are shown after you submit.
Practice questions
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Q1. Γ(1/2) equals: (1 mark)
Q2. β(2, 3) equals: (1 mark)
Q3. What is the rank of the matrix [[1, 2], [2, 4]]? (1 mark)
Q4. The eigenvalues of the diagonal matrix [[2, 0], [0, 3]] are: (1 mark)
Q5. Which is NOT a hypothesis of Rolle's theorem for f on [a, b]? (1 mark)
Q6. Evaluate lim(x→0) (1 − cos x) / x². (1 mark)
Q7. The coefficient of x³ in the Maclaurin series of eˣ is: (1 mark)
Q8. What is the dimension of the vector space of all 2 × 2 real matrices? (1 mark)
Q9. Find the determinant of [[1, 2], [3, 4]]. (1 mark)
Q10. A linear map T: ℝ⁵ → ℝ³ has rank 3. What is its nullity? (1 mark)
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