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(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

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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(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
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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