This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Mathematics 33A, First Midterm, October 16, 2009. Calculators, books, or notes of any kind are not allowed on this exam. Do not use any paper other than that provided. (You may write on the back if you need more space, but indicate this clearly on the front.) There are 11 items on this exam altogether, and they all have equal value. Answer as many of them as you can. The questions are not always arranged in order of difficulty. Look through them when you start so you get an idea of the time you’ll need. If you’re not sure what to do on an item then move onward and return to it later. (Some of the questions can be solved with geometric reasoning instead of lengthy computations; this may save you some time.) Good luck. Family Name: Given names: Discussion section: UID#: Email address: Signature: Page 1: Page 2: Page 3: Page 4: Total: Question 1. Solve the system of equations braceleftbigg 3 x + 2 y z + 2 w = 3 3 x + 6 y z = 5 ....
View
Full Document
 Fall '08
 lee
 Math, Linear Algebra, orthogonal projection

Click to edit the document details