(1 point) Let V be a vector space, and T :V → Vla linear transformation such that T(2₁ +37₂ ) = −5₁ +37₂ and T(3√₁ +5√₂) = −2v₁ + 5√₂. Then T(V₁) = V₁ + T(V₂) = T(-2v₁ - 4√₂) = V₁ + 1> V₁+ انچه
(1 point) Let V be a vector space, and T :V → Vla linear transformation such that T(2₁ +37₂ ) = −5₁ +37₂ and T(3√₁ +5√₂) = −2v₁ + 5√₂. Then T(V₁) = V₁ + T(V₂) = T(-2v₁ - 4√₂) = V₁ + 1> V₁+ انچه
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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question 1
Transcribed Image Text:(1 point) Let V| be a vector space, and T : V → Va linear transformation such that T(2ỷ₁ + 3√₂) = −5ỷ₁ + 3√₂|and T(3√₁ +5√₂ ) = −2v₁ + 5√₂|. Then
T(V₁) =
V₁ +
T(V₂) =
T(-2v₁ - 4√₂) =
v₁ +
V₁ +
پیچه
V₂.
TAN
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