MATH 219 Homework 1, Spring 2015

Math 219, Linear Algebra — Fall 2015 Course website: http://people.aub.edu.lb/∼kmakdisi/ Problem set 1, due Tuesday, February 10 at the beginning of class Office hours: Will be every Monday from 10–3, with the understanding that I will occasionally be away from the office for up to 15 minutes. Due to Monday, February 9 being a holiday, I encourage you to stop by on Friday, February 6 for any help you need — I’ll again occasionally be away for up to 15 minutes, possibly a bit longer. Exercises from Corwin-Szczarba: Section 1.1, exercises 1acf, 3, 4. (Note that the corresponding parts of exericses 3 and 4 are converses to each other.) Section 2.2, exercises 1, 3ab, 4cgh. Section 2.3, exercises 2, 4, 3 (in that order), 5, 6, 8c. Additional Exercises (also required): Exercise A1.1: For each of the following lists of vectors ⃗v1, ⃗v2, ⃗v3, determine whether ∃r, s ∈ R such that ⃗v1 = r⃗v2 + s⃗v3. a) � 1 2 � , � 1 1 � , � 2 3 � . b) � 0 0 � , � 1 1 � , � 2 3 � . c) � 1 2 � , � 1 1 � , � 2 2 � . d) � 0 0 � , � 1 1 � , � 2 2 � . e)   1 2 3   ,   1 1 0   ,   2 3 1  . f)   1 2 3   ,   1 1 0   ,   2 3 3  . Look at, but do not hand in, the following exercises: Section 1.1, exercises 2, 5, 6, 8, 9. Section 1.2, exercises 1, 2, 3, 4. Section 2.1, exercises 1ablmn, 4, 5. Section 2.2, exercises 5, 7, 8, 12.