Solve the three part linear transformation a. Suppose f : R² → R’ is a linear transformation such that1()f-4-23-3Then f12b. Suppose f : R² → R² is a linear transformation such that5(ãi) = (:). s(a) = (). s(ā) = ()-2s (is) = (). s(ë,) =(2; )fe84Then f(2e4 + 6ē7) – f(Tes + 5e7) =c. Let V be a vector space and let 01, 02, v3 E V. Suppose T :V → R' is a linear transformation such that(;).-3T(51) = (T(02) =T(73) =Then -4T(01) + T(302 + 703) =

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a. Suppose f : R² → R' is a linear transformation such that 3 Then f b. Suppose f :R2 R is a linear transformation such that s(a.) = (), s(a,) = 3), s(ã.) = (). Then f(2e4 + 6e7) – f(Tes + 5e7) = c. Let V be a vector space and let v1, U2, U3 E V. Suppose T :V → R² is a linear transformation such that (;). -3 T(5,) = ), T(5,) =C). T(73) = 5 2 Then -4T(01)+ T(3v2 + 703) =

a. Suppose f : R² → R' is a linear transformation such that 3 Then f b. Suppose f :R2 R is a linear transformation such that s(a.) = (), s(a,) = 3), s(ã.) = (). Then f(2e4 + 6e7) – f(Tes + 5e7) = c. Let V be a vector space and let v1, U2, U3 E V. Suppose T :V → R² is a linear transformation such that (;). -3 T(5,) = ), T(5,) =C). T(73) = 5 2 Then -4T(01)+ T(3v2 + 703) =

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 4EQ

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