Matrix theory • English Conversation Questions

What is matrix theory and what are its main applications?
How does matrix theory relate to linear algebra?
Can you give an example of a matrix and its elements?
What is the difference between a row matrix and a column matrix?
What are some common matrix operations and what do they represent?
What is the determinant of a matrix and why is it important?
What is an eigenvalue and eigenvector and how do they relate to matrices?
What is matrix factorization and why is it useful?
What are some practical applications of matrix theory in science and engineering?
How does matrix theory relate to other branches of mathematics such as calculus and differential equations?
What are some open research problems in matrix theory?