1. Relationship between eigenvector and invertible matrix 
 特征根和可逆矩阵之间的关系
2. Item平均价格 
 一个item list有item id,item categories(即一个item可以属于多个category)和 price,计算某个category的item的平均价格。
3. Sum of Lists and Return Most Frequent 
 Given a list containing sublists of numbers, calculate the sum of each sublist. Return the sublist that has the sum which appears most frequently. If there are multiple sublists with the most frequent sum, return the one with the highest sum.
4. Word Transformation Based on Length 
 Given a list of words, transform each word according to the following rules: if the number of characters in the word is odd, return the word in uppercase; if the number of characters is even, move the last character to the front of the word.
5. Department Top Three Salaries 
 The interview question is based on a LeetCode problem named 'Department Top Three Salaries'. The task is to write a SQL query to find the employees who earn the top three salaries in each of the departments. A link to the problem is provided for reference.