Let V = R². For (u₁, U₂), (v₁, v₂) ≤ V and a € R define vector addition by (u₁ + v₁ +3, u₂2 + v2 - 2) and (u1, U2) (v1,

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Let V R For U U V V V And A R Define Vector Addition By U V 3 U 2 V2 2 And U1 U2 V1 1 (42.14 KiB) Viewed 36 times

Let V R For U U V V V And A R Define Vector Addition By U V 3 U 2 V2 2 And U1 U2 V1 2 (42.14 KiB) Viewed 36 times

Let V = R². For (u₁, U₂), (v₁, v₂) ≤ V and a € R define vector addition by (u₁ + v₁ +3, u₂2 + v2 - 2) and (u1, U2) (v1, v2) = scalar multiplication by - a (u₁, u₂) = (au₁ + 3a − 3, au2 - 2a + 2). It can be shown that (V, B, O) is a vector space over the scalar field R. Find the following: the sum: (-2,9) (-8, -2) =(-7 the scalar multiple: -1 (-2, 9) =(-4 the zero vector: 0₁ = (-3 the additive inverse of (x, y): B(x, y) =(-x-2 2 -5 LO 5