MAT 211, Spring 2008

INTRODUCTION TO LINEAR ALGEBRA

Homework assignments

Homework is a compulsory part of the course. Homework assignments are due each week at the beginning of the Tuesday's class (5:20pm). Spread your homework evenly over a week, do not put off doing the problems until the last minute. Under no circumstances will late homework be accepted.

You are encoureged to study together with other students in the class, however the work you hand in should be your own, not copied from someone's else. No credit will be given to solutions with suspiciously identical mistakes.

HW	Due date	Assignment	Remarks
HW 1	Tu 2/5	Sec.1.1 (p. 5): 2, 6, 10, 12, 26, 29 Sec.1.2 (p. 20): 8, 10, 18, 46	Solutions of linear systems are easy to check. Don't miss this opportunity!
HW 2	Tu 2/12	Sec.1.3 (p. 35): 2, 3, 4, 16, 17, 18, 19, 36, 60, 62	Matrix multiplication is one of the most important operations for us. Exercise!
HW 3	Tu 2/19	Sec. 2.1 (p. 51): 1, 2, 3, 4 Sec. 2.2 (p. 66): 6, 7, 20, 40, 41, 42	Make sure that you understand the nature of a linear transformation.
HW 4	Tu 2/26	Sec. 2.3 (p. 76): 1, 2, 4, 16, 17, 30, 34 Sec. 2.4 (p. 89): 28, 40, 41	Learn how to invert 2x2 and 3x3 matrices (when possible). Verify the result.
HW 5	Tu 3/4	Sec. 3.1 (p. 109): 2, 3, 6, 16, 23, 24, 25 Sec. 3.2 (p. 121): 6, 9, 28, 32 Sec. 3.3 (p. 133): 22, 24, 28, 30, 31, 36, 38 Sec. 3.4 (p. 146): 16, 18	This is an opportunity to exercise for Midterm I, so double your work! Learn how to work with kernel and image of lin. transformations and bases of subspaces. Ker-Im theorem is a must.
HW 6	Tu 3/25	Sec. 3.4 (p. 146): 22, 38, 55, 58, 62 Sec. 4.1 (p.162): 1, 22, 25, 26, 30	Try on different bases. The change of basis matrix may help. Get used to new vector spaces.
HW 7	Tu 4/1	Sec. 4.2 (p. 169): 4, 6, 52, 30, 56 Sec. 4.3 (p.180): 6, 22, 27, 28, 47	Linear transformations of vector spaces and their matrices in different bases.
HW 8	Tu 4/8	Sec. 5.1 (p. 198): 11, 17, 26 Sec. 5.2 (p. 208): 29, 32 Sec. 5.3 (p. 216): 34, 40, 58, 59 Sec. 5.4 (p. 228): 1, 5 Sec. 5.5 (p. 243): 10, 20, 22, 23	These are is exercises for Midterm II. Learn how to work in inner product spaces.
HW 9	Tu 4/22	Sec. 6.1 (p. 259): 6, 8, 18 Sec. 6.2 (p. 271): 6, 22, 50 Sec. 6.3 (p. 287): 2, 3, 6, 24	Go determinants!
HW 10	Tu 4/29	Sec. 7.3 (p. 324): 1, 2, 8, 10, 14 Sec. 7.4 (p. 338): 4, 6, 42, 49, 50	Meet our new friends: eigenvalues and eigenvectors. Study diagonalization.
HW 11	Tu 5/6	Exercises for the Final Exam no. 2, 3, 5, 6, 7, 10, 11.	This last homework is a practice for the Final.