15 Algorithm to calculate rating based on multiple reviews (using both review score and quantity) 7 Inverse of an invertible upper triangular matrix of order 3 6 Find matrices $A$ and $B$ such that $rank(A) = rank(B)$ but $rank(A^2) \ne rank(B^2)$ 5 Writing every element of $S_n$ as a product of permutations of order 2 5 Factors of integers of the form $2^n-1$

### Reputation (4,254)

 +10 I need to define the cubic equation $f(x)= ax^3 + bx^2 + cx + d$ +28 Roots of unity in a characteristic 2 integral domain +10 Topics in Algebra - N. Herstein Exercise from Section 2.12, Question 16 (Page 103) +10 Find the number of prime ideals (CSIR 2014)

### Questions (45)

 9 What are those groups generated by two cycles? 8 Is this ring a well known ring and if so how is it called? 6 Rational Eisenstein primes that split 5 Which matrix $P$ makes two matrices $A$ and $B$ similar 5 For which finite groups $G$ is $K = \{g^2 \mid g \in G\}$ a subgroup

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 89 abstract-algebra × 120 18 permutations × 15 70 group-theory × 104 15 number-theory × 33 37 linear-algebra × 39 15 algorithms × 2 36 finite-groups × 40 15 scoring-algorithm 20 matrices × 20 15 recursive-algorithms

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