Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 8.6 (Exercises)

# Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 8.6 (Exercises)

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24. In Exercises 25 and 26, find (if it exists). 25. 26. In Exercises 27–30, determine the polar form of the complex number. 27. 28. 29. 30. In Exercises 31–34, find the standard form of the complex number. 31. 32. 33. 34. In Exercises 35–38, perform the indicated operation. Leave the result in polar form. 35. 3 4 1 cos p 2 1 i sin 2 2 43 3 1 cos 6 1 i sin 6 2 4 7 1 cos 3 2 1 i sin 3 2 2 6 1 cos 2 3 1 i sin 2 3 2 4 1 cos 5 4 1 i sin 5 4 2 5 3 cos 1 2 6 2 1 i sin 1 2 6 2 4 ! 3 1 i 7 2 4 i 3 1 2 i 4 1 4 i A 5 3 5 0 1 2 i i 4 A 5 3 3 2 i 2 23 5 1 11 i 5 2 1 2 2 i 2 1 3 i 4 A 2 1 5 1 2 i ( 2 2 1 2 i )(2 2 3 i ) (1 2 2 i d (1 1 2 i d 3 2 3 i CHAPTER 8 REVIEW EXERCISES 511 CHAPTER 8 REVIEW EXERCISES In Exercises 1–6, perform the given operation. 1. Find 2. Find 3. Find 4. Find 5. Find 6. Find In Exercises 7–10, find all zeros of the polynomial. 7. 8. 9. 10. In Exercises 11–14, perform the operation using and 11. 12. 13. 14. In Exercises 15–20, perform the operation using and 15. 16. 17. 18. 19. 20. In Exercises 21–24, perform the indicated operation. 21. 22. 1 1 i 2 1 1 2 i 2 1 i 2 2 i | zw | wv | vz | | w | v z z 52 1 1 2 i . v 5 3 1 i , w 5 2 2 2 i , 3 BA det s A 2 B d 2 iB A 1 B B 5 3 1 1 i 2 i i 2 1 i 4 . A 5 3 4 2 i 3 2 3 1 i 4 x 3 1 2 x 2 1 2 x 1 1 3 x 2 1 3 x 1 3 x 2 2 4 x 1 7 x 2 2 4 x 1 8 z 5 i u z : u 5 7 1 i , z 5 3 2 3 i u z : u 5 6 2 2 i , z 5 1 2 2 i uz : u 5 2 i , z 5 4 1 2 i uz : u 5 4 2 2 u 1 z : u 5 2 2 4 i ,

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## This note was uploaded on 02/24/2012 for the course MATH 310 taught by Professor Staff during the Spring '08 term at VCU.

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Elementary Linear Algebra 6e - Larson, Edwards, Falvo - Chapter 8.6 (Exercises)

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