Syllabus

Homework I: Section 1.1: 5; 10; 14; 16; 22; 25; 26. Section 1.2: 2; 3; 8; 15; 23; 24; 28; 29; 31.

Homework I': Section 1.3: 2; 6; 9; 12; 14; 17; 21; 22; 24; Section 1.4: 4; 8; 10; 12; 13; 15; 19; 24; 32;

Homework II: Section 1.5: 7; 14; 17; 21; 26; 35; Section 1.7: 4; 8; 14; 20; 21; 28; 40; Section 1.8: 1; 2; 5; 7; 12; 13; 19; 24; 29; 32; 35;

Homework III: Section 1.9: 1; 4; 7; 14; 17; 19; 22; 29. Section 2.1: 2; 4; 10; 12; 16; 20; 27; 32; 39. Section 2.2: 2; 5; 11; 16; 21; 24; 35.

Homework IV: Section 2.3: 1; 3; 11; 15; 33; 37; 38. Section 2.8: 1; 2; 3; 4; 6; 15; 19; 23;

Homework V: Section 2.9: 4; 9; 15; 20; 24. Section 3.1: 5; 15; 25; 26; 28; 30;

Homework VI: Section 3.2: 1; 8; 17; 22; 28; 36; 43. Section 3.3: 6; 12; 18; 23; 27. Section 5.1: 2; 4; 14; 17; 20; 23; 31.

Homework VII: Section 5.2: 4; 9; 18; 19; 20. Section 5.3: 1; 3; 14; 24; 27; 31. (And here is my problem to you: let us say n by n matrices A and B are "similar" if A=PBP^(-1) for some invertible matrix P. Show that A and B have the same eigenvalues)

Homework VIII: Section 5.4: 1; 2; 3; 4. Section 6.1: 4; 8; 13; 22; 24; 27. Section 6.2: 1; 7; 26. Section 6.4: 2; 9.