Practice Midterm 1-1

Practice Midterm 1-1 - Math 20F First Midterm January 27,...

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Math 20F First Midterm January 27, 2003 PRINT NAME Write version on your blue book and VERSION A hand in this exam inside your blue book. There are a total of 40 points possible. No BOOKS, NOTES or CALCULATORS are allowed. You must show your work to receive credit. 1. (4 pts.) Fill in the following blanks. (a) If A is an n × n matrix and there is a matrix B such that , we call B the inverse of A . (b) If A and B are matrices such that a ij = b ji for all i and j , we call B . 2. (15 pts.) Let A = 10 - 00 0 1 11 0 - 1 22 0 3 . (a) How many solutions does A x =(1000) T have? Justify your answer. (b) How many solutions does A x =(0001) T have? Justify your answer. (c) Either find a b so that A x = b has exactly one solution or explain why this is impossible.
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This note was uploaded on 04/16/2008 for the course MATH 20F taught by Professor Buss during the Spring '03 term at UCSD.

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