Linear Independence

The video tutorial explains linear independence and dependence in vector spaces. It covers methods to test for linear independence using examples, matrices, and determinants. The tutorial also discusses the application of these concepts to polynomials, emphasizing the importance of understanding vector spaces in advanced mathematics.

What are the implications of having a system of equations with more unknowns than equations?

How can polynomials be checked for linear independence?

In your own words, explain why understanding linear independence is important in advanced mathematics.

What is the relationship between linear independence and the concept of span?