#1
26th July 2014, 12:49 PM
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TIFR MSc Mathematics Entrance Exam Question Paper
Will you please provide the Tata Institute of Fundamental Research MSc mathematics entrance exam question paper ?
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#2
26th July 2014, 01:30 PM
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Re: TIFR MSc Mathematics Entrance Exam Question Paper
Here I am providing the list of few questions of Tata Institute of Fundamental Research MSc mathematics entrance exam question paper which you are looking for . Let A be an n×n matrix with real entries such that Ak = 0 (0-matrix), for some k ∈ N. Then A. A has to be the 0 matrix B. trace(A) could be non-zero C. A is diagonalizable D. 0 is the only eigenvalue of A. There exists a map f : Z → Q such that f A. is bijective and increasing B. is onto and decreasing C. is bijective and satisfies f(n) ≥ 0 if n ≤ 0 D. has uncountable image. How many proper subgroups does the group Z ⊕ Z have? A. 1 B. 2 C. 3 D. infinitely many. X is a metric space. Y is a closed subset of X such that the distance between any two points in Y is at most 1. Then A. Y is compact B. any continuous function from Y → R is bounded C. Y is not an open subset of X D. none of the above. |
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