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Permutation Groups MCQ

Test your knowledge with important Permutation Groups MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Permutation Groups MCQs at Bissoy

  • Suppose (2, 5, 8, 4) and (3, 6) are the two permutation groups that form cycles. What type of permutation is this?
  • Let M be an 4×4 matrix with real entries such that Mk=0, for some k≥1. Find the determinant value of (I+M), where, I be the 4 x 4 identity matrix.
  • If 54th row of a 67th row matrix is linearly independent with each other then find the rank of the matrix.
  • If Y98 (a raised to the power of 5) = 0 and Y is a 97-square matrix. Determine the value of Y97.
  • Suppose, M is a lower triangular matrix with all diagonal entries zero. The resultant matrix of M+I will be ___________
  • Let (z, *) is a group with x*y=x+y-2 then inverse of x is ___________
  • The dihedral group having order 6 can have degree _____________
  • Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________
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