Homework Math 210

1. Week:
   • 1.1: 1, 2, 3, 4, 5, 6;
   • 1.2: 1, 2, 3, 4, 5, 6, 7 a), 13, 16

2. Week:
   • 2.1: 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 16, 19, 26, 27

3. Week:
   • 2.2: 1, 4, 5, 7, 11, 12, 17, 21;
   • 2.3: 1, 2, 3, 11, 12, 15, 18, 21, 23
   • 2.4: 7, 17, 18, 20

4. Week:
   • 2.4: 3, 6, 14;
   • 2.5: 1, 3, 4, 6, 7, 9, 22, 24, 26;
   • 2.6: 1, 2, 3, 4, 6, 7

   SAMPLE OF QUESTIONS FOR MIDTERM 1:

   • Problem 1 (section 1.2: question 4);
   • Problem 2 (section 2.3: question 23 and 24);
   • Problem 3 (section 2.4 : question 2 and 7);
   • Problem 4 (section 2.5, question 24 for the first matrix);
   • Problem 5 (section 2.6: question 3)
5. Week:
   • 3.1: 2, 3, 5, 6, 9, 10, 14, 19, 20, 22;
   • 3.2: 1, 2, 3, 4, 5, 9, 11, 16, 21, 23, 28;
   • Syllabus for week (10/6-10/12): Sections 3.3; 3.4; 3.5

6. Week:
   • 3.4: 1, 2, 3, 4, 5, 6, 7, 9, 10, 13, 14, 15, 17, 18, 33, 34, 35;
   • 3.5: 1, 2, 3, 4, 5, 7, 9, 11, 13, 16, 17, 19, 20, 21, 22, 24 (also for the next week);
   • Syllabus for week (10/13-10/19): Sections 3.5; 3.6

7. Week:
   • 3.5: 1, 2, 3, 4, 5, 7, 9, 11, 13, 16, 17, 19, 20, 21, 22, 24 (from the previous week);
   • 3.6: 1, 2, 4, 5, 6, 11, 13, 14, 15, 20
   • Syllabus for week (10/20-10/26): Sections 4.1; 4.2

   SAMPLE OF QUESTIONS FOR MIDTERM 2:

   • Problem 1 (section 3.2: question 1 and 9);
   • Problem 2 (section 3.4: question 2);
   • Problem 3 (section 3.5: question 5 and 17 a) and b));
   • Problem 4 (section 3.6: question 2 and question 4 a),b),c));
   • Problem 5 Let A be the matrix having the vectors (1,1,2) and (2,1,0) as its columns.

     a) Find the vector p in the suspace V=C(A) that is the closest to b=(1,1,1)

     b) Find the projection matrix P onto V=C(A).

     c) Find the orthogonal complement of V=C(A).

8. Week:
   • 4.1: 3, 5, 7, 13, 14, 16, 21, 24
   • 4.2: 1, 3, 5, 11, 12, 16, 21, 27
   • 4.4: 1, 2, 5, 9, 10, 20

9. Week:
   • 5.1: 2, 3, 13, 15, 18, 20, 21
   • 5.2: 1, 2, 11, 12
   • 5.3: 1, 2, 3, 5
   • Syllabus for week (11/10-10/16): Sections 6.1; 6.2;

10. Week:
    • 6.1: 2, 3, 4, 5, 6, 12
    • 6.2: 1, 2, 3, 15, 16, 19, 20, 21
    • Syllabus for week (11/17-10/23): Sections 6.2; 6.3;
11. Week:
    • 6.3: 1, 3, 4
    QUESTIONS FOR MIDTERM 3:
    • Problem 1 (section 4.4: question 5 );
    • Problem 2 (section 5.1: question 13);
    • Problem 3 (section 5.3: question 1);
    • Problem 4 (section 6.3: question 4);
    • Problem 5 (section 6.2: question 19);

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- Monday 12/16 4-6pm Room 402 Ungar;