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Unformatted text preview: MATH1104C  Test 1 Solution Total points: 20 Name and Student Number: Part 1: Short Answer Questions (Steps are not necessary) 1. (1.5 points) Look at the following matrix: 1 0 1 h k h k k 0 0 h + k Find all h and k such that the corresponding matrix is 1) in reduced row echelon form; 2) in row echelon form but not in reduced row echelon form; 3) not in row echelon form. Solution: 1) h = 0, k=0; 2) h 6 = 0, k=0; 3) h R , k 6 = 0. 2. (1.5 points) Consider the following linear system x 1 x 2 = 2 x 1 + hx 2 = k For what values of h and k does the system have 1) infinitely many solutions? 2) Only one solution? 3) No solution? Solution: 1) h = 1 ,k = 2; 2) h 6 = 1, k R ; 3) h = 1 ,k 6 = 2. 3. (True/False) (2 points) The equation A~x = ~ b is homogeneous if ~ 0 is a solution of the equation. Answer: True. 4. (True/False) (2 points) The set 1 2 3 , 3 2 2 ,  2 3 ,...
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This note was uploaded on 10/16/2009 for the course MATH MATH1104 taught by Professor Someone during the Winter '08 term at Carleton CA.
 Winter '08
 SOMEONE
 Math

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