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Unformatted text preview: Problem 7: a) Do problem 1 from section 3.3 (pg. 141). b) Do problem 3 in section 3.3 (pg. 141). Problem 8: Do problem 17 in section 3.3 (pg. 143). 1 Problem 9: Deﬁne the matrix A = 1 2 2 4 6 1 2 3 6 9 0 0 1 2 3 0 0 1 1 0 a) Reduce A to ordinary echelon form. What are the pivots? What are the free variables? b) Find a special solution for each free variable. (Set the free variable to 1. Set the other variables to 0.) c) By combining the special solutions, describe every solution to Ax = 0. d) What is the rank of A ? Which columns will generate the column space C ( A )? Problem 10: Do problem 4 in section 3.4 (pg. 152). Problem 11: Do problem 21 in section 3.4 (pg. 154). 2...
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 Spring '08
 CHANILLO
 Closure, Free variables and bound variables

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