Let B = {b1, b2, b3} be a basis for a vector space V and let 1 -4 T:V →V be a linear transformation with [T]B = | 0 1 3 -1 1 2 3 Find T(3b1 – 6b2 + 7b3).

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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Let B = {b1, b2, b3} be a basis for a vector space V and let
-4
1
T:V → V be a linear transformation with [T]B
3 -1
1
2
3
Find T(3b1 – 6b2 + 7b3).
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Transcribed Image Text:Let B = {b1, b2, b3} be a basis for a vector space V and let -4 1 T:V → V be a linear transformation with [T]B 3 -1 1 2 3 Find T(3b1 – 6b2 + 7b3). -
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