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**Unformatted text preview: **detailed enough to get you full points on the problem. 2. Problem 1.2.4. 3. Problem 1.2.8. 4. Problem 1.2.10. Note (0 , y 1 ), (1 , y 2 ), and (2 , y 3 ) are points , not vectors . 5. Problem 1.2.22. The ﬁrst sentence is the actual problem and the third sentence is a suggestion on how you might try to get a feel for what’s going on. The second and fourth sentences are essentially foreshadowing. 6. Problem 1.3.6. 7. Problem 1.3.12. 8. Problem 1.3.30. 9. Prove that it is impossible for a system of linear equations to have exactly two solutions. Two questions you might think about to get your thinking started: (i) if ( x 1 , y 1 , z 1 ) and ( x 2 , y 2 , z 2 ) are two solutions, what is another one? (ii) If 25 planes meet at 2 points, where else do they meet? 1...

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