Q1. Let u= (, 3), v = (2, 32) V = R and & R....

Transcribed Image Text:

Q1. Let u= (₁, 3₁), v = (2, 32) € V = R² and & R. Then we define addition and scalar multiplication on Vas; u + v = (x₁+y₁-1,22 + y2-1) and a.u = (ay₁, ₁). (i). Compute, u+vand k.u, if u =(-1,3), v= (2,0) and k = 5. (ii). Show that V is not a vector space with given addition and scalar mul- tiplication. Q1. Let u= (₁, 3₁), v = (2, 32) € V = R² and & R. Then we define addition and scalar multiplication on Vas; u + v = (x₁+y₁-1,22 + y2-1) and a.u = (ay₁, ₁). (i). Compute, u+vand k.u, if u =(-1,3), v= (2,0) and k = 5. (ii). Show that V is not a vector space with given addition and scalar mul- tiplication.

Answer rating: 100% (QA)

Q1 i u v 1 2 3 0 13 and ku 5153 5 15 ii To show that V is not a vector spac... View the full answer