Diagnostic homework

## Linear Methods of Applied Mathematics Evans M. Harrell II and James V. Herod*

First homework - Am I ready for this course?

This homework consists of some representative problems from courses which are prerequisites for this course. In case you have much difficulty with these questions, some relevant courses are noted.

Please attempt the problems first without reference to written materials. Write "-1/3" next to your answer if you had to look up how to do a given problem. The answer should be a pretty simple mathematical expression.

2.    The general solution of y" - y' + 3 y = 0 is   y(t) = __________________

(Course: Introduction to Ordinary Differential Equations) (Course: Vector Calculus) 5. The dimension of the solution space to the matrix equation is ____________________

(Course: Linear Algebra/Vector Spaces)

6. The eigenvalues and eigenvectors of the matrix are:______________________

(Course: Linear Algebra/Vector Spaces)

7. The projection of the vector (1,1,1) to the plane x - y + 2 z = 0 is _____________

8. 