This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: MATH 235 Review of Linear Algebra I Assignment 1 Hand in questions 2,4,7,8,9,12 by 9:30 am on Wednesday September 20, 2006. 1. Solve the following system of equations for x and y : x 2 + xy y 2 = 1 2 x 2 xy + 3 y 2 = 13 x 2 + 3 xy + 2 y 2 = 0 2. Solve A x = b and y A = c where A = 1 1 1 2 1 3 1 2 , x = x 1 x 2 x 3 , b = 2 6 4 , y = ( y 1 ,y 2 ,y 3 ) , c = (0 , 2 , 2) . 3. A system of linear equations in x 1 ,x 2 ,x 3 has the augmented matrix 1 0 1 b 1 1 0 a 1 a b a , where a and b are real numbers. Determine values of a and b , if they exist, such that the system has: (a) no solution; (b) a unique solution; (c) infinitely many solutions. For the values of a and b that you find in part (c) above, give the general solution to the system of equations. 4. Find A 1 for A = 1 i 2 2 6 i 1 i . 5. Determine if the following set of vectors in C 3 is linearly independent: v 1 = (1 , , i ) , v 2 = (1 + i, 1...
View
Full
Document
This note was uploaded on 01/05/2012 for the course MATH 235 taught by Professor Celmin during the Fall '08 term at Waterloo.
 Fall '08
 CELMIN
 Math, Linear Algebra, Algebra, Equations

Click to edit the document details