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hw7(1) - of the matrix 3 Problem 4 on Page 165 4 Problem...

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MATH 4377, ADVANCED LINEAR ALGEBRA, SUMMER 2011, HW#7 Due date: Tuesday, June 21th 1. Problem 3 on Page 151. 2. (i) Find the rank of the matrices in Problem 2 (b), (f) on Page 165. (ii) For the matrices in Problem 2 (b), (f) on Page 165, find a basis for its row space (the vector space spanned by the row vectors of the matrix) and a basis for its cloumn space (the vector space spanned by the column vectors
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Unformatted text preview: of the matrix), 3. Problem 4 on Page 165. 4. Problem 5 (b), (d), (f) on Page 166. 5. Problem 6 (b), (d), (e) on Page 166. 6. Problem 7 on Page 167. 7. (i) Give the definition of a reduced row echelon form for a n × n matrix (see Page 185). (ii) Given A = 2 3 1 4-9 1 1 1 1-3 1 1 1 2-5 2 2 2 3-8 . Find its reduced row echelon form. 1...
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