Find a basis (a 1 , a 2 , a 3 ), (b 1 , b 2 , b 3 ), (c 1 , c 2 , c 3 ) for Z x Z x Z with all a i 0, all b i 0, and all c i 0 ...

Find a basis {(a 1 , a 2 , a 3 ), (b 1 , b 2

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Find a basis {(a₁, a₂ , a₃), (b₁, b₂ , b₃), (c₁, c₂, c₃)} for Z x Z x Z with all a_i≠ 0, all b_i ≠ 0, and all c_i ≠ 0.

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1 1 1 1 2 1 1 1 2 is a basis Note that the 2nd 1st gives 0 1 0 and the 3rd 1st gives 0 0 1 so it is ...View the full answer

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Ashish Kumar

I am a MBA graduate from Indian Institute of Foreign Trade, Delhi (scored 99.763 % in the entrance) and a Civil Engineering graduate of 2013 - 17 batch from NIT Srinagar (ranked among top 5% students in the country. Owing to my consistent performance and preparation for the entrance exam, I am well informed about the subjects like Mathematics, Business, Physics, Chemistry and Civil Engineering. I am currently working as an Assistant Manager in Career Launcher, which is a coaching institute to help students in competitive exams. I help students in the subjects of Mathematics and Logical Reasoning. I take classes for GRE, GMAT, CAT, IIFT, SNAP and LSAT exams. I have helped more than 200 students in my tenure with the organization. I know how important the basics are for the students to clear these examinations and always encourage them to build concepts and then fasten up their speed for solving problems.

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