12-240/Homework Assignment 5

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This assignment is due in class on Tuesday November 6. 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/reread sections 1.6, 1.7, and 2.1 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. Remember that your prof. thinks that section 1.7 is useless fun. Also, preread the rest of chapter 2, just to get a feel for the future.

Task 2. Solve problems 17, 18, 20, 23, 25, 26, 28, 29a, and 29b on pages 56-57 and problems 1, 2, 5, 13, 17 and 18 on pages 74-76, but submit only your solutions of the underlined problems.

Just for fun. Decide if the vectors \begin{pmatrix}8\\-3\end{pmatrix} and \begin{pmatrix}5\\-2\end{pmatrix} are linearly dependent.

How Can This Be?
Two congruent triangles are assembled using congruent pieces, yet one is bigger than the other