Problem Set 1

# Problem Set 1 - Exercises 1 NOT TO HAND IN If you are not...

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Exercises 1: NOT TO HAND IN If you are not familiar with vector or matrix operations, do these computations by hand and then check your answer in Matlab . This may seem like busy work, but there is really no other way to get a feel for what these mathematical operations do. 1. a 1 , 1 , 3 A + a 2 , 2 , 1 A 2. 3 · a 2 , 1 , 4 , 0 A 3. a 4 , 1 A •a 2 , 3 A 4. a 3 , 1 , 2 1 , 2 , 3 A . 5. [ a 3 , 1 , 2 1 , 2 , 3 A ] · a 1 , 2 , 3 A . 6. |a 3 , 6 , 2 A| 7. Find the cosine of the angle between a 4 , 4 , 2 A and a 2 , 3 , 6 A . Using Matlab ±nd the actual angle. 8. Find the cosine of the angle between a 4 , 4 , 2 A and a 2 , 3 , 6 A . Using Matlab ±nd the actual angle. 9. b 2 3 1 1 B · b 1 4 B 10. ± 1 4 ² · b 2 3 1 1 B 11. ± 3 1 2 ² · 1 2 3 12. 1 2 3 · ± 3 1 2 ² 1

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13. b 2 3 1 1 1 2 B · 1 4 2
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Problem Set 1 - Exercises 1 NOT TO HAND IN If you are not...

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