14-240/Homework Assignment 6

DBN: Classes: 2014-15: 14-240 / Navigation Welcome to Math 240! (additions to this web site no longer count towards good deed points) # Week of... Notes and Links 1 Sep 8 About This Class, What is this class about? (PDF, HTML), Monday, Wednesday 2 Sep 15 HW1, Monday, Wednesday, TheComplexField.pdf,HW1_solutions.pdf 3 Sep 22 HW2, Class Photo, Monday, Wednesday, HW2_solutions.pdf 4 Sep 29 HW3, Wednesday, Tutorial, HW3_solutions.pdf 5 Oct 6 HW4, Monday, Wednesday, Tutorial, HW4_solutions.pdf 6 Oct 13 No Monday class (Thanksgiving), Wednesday, Tutorial 7 Oct 20 HW5, Term Test at tutorials on Tuesday, Wednesday 8 Oct 27 HW6, Monday, Why LinAlg?, Wednesday, Tutorial 9 Nov 3 Monday is the last day to drop this class, HW7, Monday, Wednesday, Tutorial 10 Nov 10 HW8, Monday, Tutorial 11 Nov 17 Monday-Tuesday is UofT November break 12 Nov 24 HW9 13 Dec 1 Wednesday is a "makeup Monday"! End-of-Course Schedule, Tutorial F Dec 8 The Final Exam Register of Good Deeds Add your name / see who's in!

This assignment is due at the tutorials on Tuesday November 4 or at the appropriate mailboxes at the Math Aid Centre, SS 1071, by Thursday November 6 at 5PM. Here and everywhere, neatness counts!! You may be brilliant and you may mean just the right things, but if the teaching assistants will be having hard time deciphering your work they will give up and assume it is wrong.

Task 1. Read sections 2.1 through 2.3 in our textbook. Remember that reading math isn't like reading a novel! If you read a novel and miss a few details most likely you'll still understand the novel. But if you miss a few details in a math text, often you'll miss everything that follows. So reading math takes reading and rereading and rerereading and a lot of thought about what you've read. Also, preread sections 2.4 and 2.5, just to get a feel for the future.

Task 2. Solve problems 20, 21, 24, 25, 26, and 27 on pages 76-77 and problems 1, 5a, 5b, 5c-g, 9, 15 and 16 on pages 84-86, but submit only your solutions of the underlined problems.

Hint for Problem 16 on Page 86. Start with the same bases as in the proof of rank-nullity, add just a bit, and what is the resulting matrix?

Just for fun. Do a web search for the words "OpenGL" and "matrix" (or "matrices") and find out why graphics accelerators in PCs and game consoles do $4\times 4$ (!) matrix multiplications in hardware. (The full explanation is quite involved; perhaps you should just aim to get a taste of it).

A famed creature that owes its mobility to 4x4 matrices.

Dror's notes above / Students' notes below