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Show that S3 conditions. 15 a Show all 2 53= [(x₁4 ER² = 1 vector V 10 1 Som uv is in V v@u 2) uⒸv= 3) (u@v) + w = u(vw) 4) Is object & in where И 5) For each in V, therl 6) The Scalar Multiple 7) Co (u+v) cou is (cou) +(cov) g) (c+d) Ou = (cou) + (dou) a) co (dou) = (cd) ou 10 u - u 10) vector - e IS Space U@V = (~₁₁ 1₂ ) + (U₁₁ U₂) = (U₁+V₁, U₂ V₂) Cou= co(u₁, v₂₁) = (cu₁, u₂²) AIX u ε = u in V with * axious. in V the following Such that uu = ६

Show that S3 conditions. 15 a Show all 2 53= [(x₁4 ER² = 1 vector V 10 1 Som uv is in V v@u 2) uⒸv= 3) (u@v) + w = u(vw) 4) Is object & in where И 5) For each in V, therl 6) The Scalar Multiple 7) Co (u+v) cou is (cou) +(cov) g) (c+d) Ou = (cou) + (dou) a) co (dou) = (cd) ou 10 u - u 10) vector - e IS Space U@V = (~₁₁ 1₂ ) + (U₁₁ U₂) = (U₁+V₁, U₂ V₂) Cou= co(u₁, v₂₁) = (cu₁, u₂²) AIX u ε = u in V with * axious. in V the following Such that uu = ६

Advanced Engineering Mathematics
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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7 XC + Xd, Show that conditions. Cou= S3 is a Show all 1) Som u ⒸV is in V 2) +V= vou 3) (uv) + w = u@v@w) 4) Is object & in V where 5) For each и- и 10u = vector 10 2 53 = [(x₁4 ER² : y = e u@V = (U₁₁ 1₂ ) + (V₁, V₂) = (U₁+ V₁, U₂ V₂) C colu,, Uz) =( си,, из 0 vector in V, there cou 6) The Scalar is Multiple 7) Co (u+v) = (c@u) + (cov) g) (c+d) Ou = (cou) + (dou) a) co (dou) = (ca) ou 10) Space Ax и D E=u is u* in V with axious. in V the following Such that и = ६
Transcribed Image Text:7 XC + Xd, Show that conditions. Cou= S3 is a Show all 1) Som u ⒸV is in V 2) +V= vou 3) (uv) + w = u@v@w) 4) Is object & in V where 5) For each и- и 10u = vector 10 2 53 = [(x₁4 ER² : y = e u@V = (U₁₁ 1₂ ) + (V₁, V₂) = (U₁+ V₁, U₂ V₂) C colu,, Uz) =( си,, из 0 vector in V, there cou 6) The Scalar is Multiple 7) Co (u+v) = (c@u) + (cov) g) (c+d) Ou = (cou) + (dou) a) co (dou) = (ca) ou 10) Space Ax и D E=u is u* in V with axious. in V the following Such that и = ६
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