Q. If Y⁹⁸ (a raised to the power of 5) = 0 and Y is a 97-square matrix. Determine the value of Y⁹⁷.

View solution

Q. If 54th row of a 67th row matrix is linearly independent with each other then find the rank of the matrix.

View solution

Q. 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.

View solution

Q. Suppose (2, 5, 8, 4) and (3, 6) are the two permutation groups that form cycles. What type of permutation is this?

View solution

Q. Which of the following is not an abelian group?

View solution

Q. If we take a collection of {∅, {2}, {3}, {5}} ordered by inclusion. Which of the following is true?

View solution

Q. _______ characterizes the properties of distributive lattices.

View solution

Q. Suppose that H be an X-set and suppose that a∼b and |Xₐ|=|Xᵦ|, the which of the following is true?

View solution

Q. If the 4 sides of a square are to be colored by colors. How many different colourings with 50 colours are there if two arrangements that can be obtained from each other by rotation are identical?

View solution

Q. Let H be a finite group. The order of Sylow p-subgroup of H for every prime factor p with multiplicity 9 is?

View solution

Q. How many indistinguishable necklaces can be made from beads of 4 colors with exactly 9 beads of each color where each necklace is of length 16?

View solution

Q. Invariant permutations of two functions can form __________

View solution

Q. Suppose P(h) is a group of permutations and identity permutation(id) belongs to P(c). If ϕ(c)=c then which of the following is true?

View solution

Q. An isomorphism of Boolean algebra is defined as _______

View solution