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8. [10 points) Show that R³ with the following operations is not a vector space. (The Vector Space Axioms are listed on
Posted: Wed Jul 06, 2022 11:49 am
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- 8 10 Points Show That R With The Following Operations Is Not A Vector Space The Vector Space Axioms Are Listed On 1 (26.29 KiB) Viewed 17 times
8. [10 points) Show that R³ with the following operations is not a vector space. (The Vector Space Axioms are listed on the next page) addition: scalar multiplication: (11)+(₂2) = (0.0.0) cs,y,z) = (cr.cy.co) [Be careful: There could be an additive identity, but it does not have to be (0,0,0).