Diagnostic homework

Linear Methods of Applied Mathematics

Evans M. Harrell II and James V. Herod*

#### *(c) Copyright 1994,1995,1996 by Evans M. Harrell
II and James V. Herod. All rights reserved.

**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.

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