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a) Let T: R4 → R³ be a linear transformation. 2 --0--0-0--0-0 3 -1 -1 Find T 1 3 -2 -3 if T and T 1 = 5

a) Let T: R4 → R³ be a linear transformation. 2 --0--0-0--0-0 3 -1 -1 Find T 1 3 -2 -3 if T and T 1 = 5

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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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a) Let T : R¹ → R³ be a linear transformation. Find T 2 ()--(D)-(C)--)-0) = 3 and T -1 1 3 -2 -3 if T 1 1 -1 -1 b) For in R", we say that ☞ is in the kernel of T if T(x) that ax₁ + bx2 is also in the kernel of T for all scalars a and b. 1 1 5 (:). 1 = 0. If x₁ and x2 are both in the kernel of T, show
Transcribed Image Text:a) Let T : R¹ → R³ be a linear transformation. Find T 2 ()--(D)-(C)--)-0) = 3 and T -1 1 3 -2 -3 if T 1 1 -1 -1 b) For in R", we say that ☞ is in the kernel of T if T(x) that ax₁ + bx2 is also in the kernel of T for all scalars a and b. 1 1 5 (:). 1 = 0. If x₁ and x2 are both in the kernel of T, show
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