see the picture， thanks you，math prove question Problem 6. Define new addition and scalar multiplication operations and Ⓒ on R² by(x, y) + (z, w) = (x+z,y+w),a(x, y) = (ax, y),for all (x, y), (z, w) ≤ R² and a Espace over R? Justify your answer.R. Does R2 with these operations form a vector

lem 6. Define new addition and scalar multiplication operations and Ⓒ on R² by (x, y) + (z, w) = (x+z,y+w), ao (x, y) = (ax, y), for all (x, y), (z, w) ≤ R² and a € R. Does R2 with these operations form a vector space over R? Justify your answer.

lem 6. Define new addition and scalar multiplication operations and Ⓒ on R² by (x, y) + (z, w) = (x+z,y+w), ao (x, y) = (ax, y), for all (x, y), (z, w) ≤ R² and a € R. Does R2 with these operations form a vector space over R? Justify your answer.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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