MACM 316 – Assignment 1

• Please read the Guidelines for Assignments first. This is available in Canvas.

• Problems are not to be submitted. The related quiz will be given in class on Friday Septem-ber 18.

• Feel free to use the Canvas discussion but please keep in mind that Canvas discussions areopen forums.

A. Calculus

Section 1.1, Ex 4

Section 1.1, Ex 9

Section 1.1, Ex 12

B. Linear Algebra

1. Find the eigenvalues {λ1, λ2, λ3} and eigenvectors {u1, u2, u3} of the matrix

A =

4 0 1−2 1 0−2 0 1

.2. For what values of α is the matrix

A =

α 1 20 1 10 0 1

,singular?

C. Rounding Error

Section 1.2, Ex 1 (a),(d),(e)

Section 1.2, Ex 4 (b)

Section 1.2, Ex 12

1