GATE 2017-2018 :: GATE Mathematics
- The possible set of eigen values of a 4*4 skew-symmetric orthogonal real matrix is
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The coefficient of (z − π)2 in the Taylor series expansion of
around π is -
Consider â„2 with the usual topology. Which of the following statements are TRUE for all A,B ⊆ â„2?
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Let f:℠→℠be a continuous function with f(1)=5 and f(3)=11. If g(x) =
then g²(0) is equal to ______ - Let P be a 2*2 complex matrix such that trace(P) = 1 and det(P)=−6. Then, trace (P4 - P3) is ______
- Suppose that R is a unique factorization domain and that a,b ∈R are distinct irreducible elements. Which of the following statements is TRUE?
- Let X be a compact Hausdorff topological space and let Y be a topological space. Let f: X --> Y be a bijective continuous mapping. Which of the following is TRUE?
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Consider the linear programming problem:Maximize x + 3/2 ysubject to 2x + 3y ≤ 16x + 4y ≤ 18x ≥ 0, y ≥ 0.If ð‘†ð‘† denotes the set of all solutions of the above problem, then
- Which of the following groups has a proper subgroup that is NOT cyclic?
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