Let T R2 R2 be a linear transfor [3] into the vector a (i) T maps vector u

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 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...
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2.
Let T : R² → R² be a linear transformation such that:
1
-2
(i) T maps vector u =
into the vector a =
[
5
3
(ii) T maps vector v =
[³]
into the vector b =
[
Use the fact that T is a linear transformation to find T(3u +2v).
-4
Transcribed Image Text:2. Let T : R² → R² be a linear transformation such that: 1 -2 (i) T maps vector u = into the vector a = [ 5 3 (ii) T maps vector v = [³] into the vector b = [ Use the fact that T is a linear transformation to find T(3u +2v). -4
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