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Unformatted text preview: Name: Student ID: Section: 2 Prof. Alan J. Laub May 16, 2008 Math 33A – MIDTERM EXAMINATION II Spring 2008 Instructions: (a) The exam is closed-book (except for one page of notes) and will last 50 minutes. (b) Notation will conform as closely as possible to the standard notation used in the lectures. (c) Do all 5 problems. Each problem is worth 20 points. Some partial credit may be assigned if warranted. (d) Label clearly the problem number and the material you wish to be graded. 1. Suppose x,y ∈ IR n . Use the determinant formulas given in class to show that det( I n- xy T ) = 1- y T x where I n denotes the n × n identity matrix. Hint: Recall that the determinant formulas involve computing det • A B C D ‚ . Evalu- ate this formula two different ways for the same appropriate values of A,B,C,D . You will receive no credit for other ways of trying to evaluate the determinant. 2. In a certain experiment, the following measurements ( t i ,y i ) are taken: (- 2 , 4) , (- 1 , 0) , (0...
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This note was uploaded on 05/29/2011 for the course MATH 33a taught by Professor Lee during the Spring '08 term at UCLA.
- Spring '08