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4. The table below is known as the Ouaternion Group. Use the table below to evaluate the following: Show your solution ba ba ba ba ba? a? ba ba ba ba? a a e a ba ba ba? a a? a3 e a? a3 a? e a ba as ba ba e a ba ba? ba3 ba a ba ba? ba? ba3 ba² ba ba e ba a² a 3 e a ba ba ba? a2 e a a. b+ ba3 b. Find a*. c. (ba)* • (a?)3 d. (a*)6 • (ba?)? e. What is the inverse of element b?

4. The table below is known as the Ouaternion Group. Use the table below to evaluate the following: Show your solution ba ba ba ba ba? a? ba ba ba ba? a a e a ba ba ba? a a? a3 e a? a3 a? e a ba as ba ba e a ba ba? ba3 ba a ba ba? ba? ba3 ba² ba ba e ba a² a 3 e a ba ba ba? a2 e a a. b+ ba3 b. Find a*. c. (ba)* • (a?)3 d. (a*)6 • (ba?)? e. What is the inverse of element b?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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4. The table below is known as the Ouaternion Group. Use the table below to evaluate the following: * Show your solution a? a2 ba2 ba? ba ba ba? ba ba ba2 e a a3 ba a3 ba ba? e e a ba a a a? a3 e a2 a2 e a ba a² ba? ba a3 ba ba e a ba ba? e ba ba? ba ba ba3 a2 a. a2 a2 ba? ba3 ba3 ba e a b ba ba? a3 e a a. b* ba3 b. Find a*. c. (ba)* * (a?)3 d. (a*)6 + (ba?)? e. What is the inverse of element b?
Transcribed Image Text:4. The table below is known as the Ouaternion Group. Use the table below to evaluate the following: * Show your solution a? a2 ba2 ba? ba ba ba? ba ba ba2 e a a3 ba a3 ba ba? e e a ba a a a? a3 e a2 a2 e a ba a² ba? ba a3 ba ba e a ba ba? e ba ba? ba ba ba3 a2 a. a2 a2 ba? ba3 ba3 ba e a b ba ba? a3 e a a. b* ba3 b. Find a*. c. (ba)* * (a?)3 d. (a*)6 + (ba?)? e. What is the inverse of element b?
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