**Questions:**

**Vectors, Matrices and Vector Calculus:**

- How are vectors and matrices related?
- Can matrices move vectors around? If yes, how?
- What dimensions do cross products exist on?
- What is an Eigen vector? Why is it special?
- Give an example of a vector space of 3 dimensions.
- What dimensions does a M2x2 () have? Give an example.
- Why do we need to diagonalize a matrix?
- What is the Gram-Schmitt Process?
- What is a vector field?
- What is a conservative vector field?

**Complex Analysis:**

- What is a partial derivative?
- What is a directional derivative?
- What is a line integral?
- What are double integrals?
- What is a counter integral?
- What is a complex number?

7. Explain Greens Theorem, Stokes Theorem.

- What is 3, where ?

- What is of ?

- What is ?

- What are Cauchy-Riemann equations?

- What is ?

What is a counter integral?