1)
(20 pts total) Linear Algebra:
a) (4 pts) Write the 2x2 Identity Matrix I.
b) (4 pts) Write the system of linear equations given below in matrix form Ax=b:
5x + 2.5y + x = 2.5
10x - 20y + 5z = 50
3x + 7y + 8z = 10
c) (4 pts) If a system of equations can be written in the form Ax=b, where A is a square matrix, then x is called an (circle one):
- eigenvector
- eigenvalue
- eigenspace
- idk
d) (4 pts) If a system of equations can be written in the form Ax=Ax, where A is a square matrix, then x is called an (circle one):
- eigenvector
- eigenvalue
- eigenspace
- idk
e) (2 pts) I learned about linear algebra in the following class(es): (circle all that apply)
- MAT316
- EE280
- CS122
- high school
- Other (list)
- None
f) (2 pts) My understanding of linear algebra is: (circle one)
- Minimal
- Moderate
- Good
- Very Good
- Excellent
2)
(20 pts total) Laplace Transformations:
a) (5 pts) True or False (circle one): The Laplace transform F(s) of a function f(t) is defined as:
- Fs
- -stf(t)
- at
- b
b) (6 pts) What is the Laplace transform of f(t) = e^t?