Suppose that {ủ, v} is a basis for R? and that T : R? standard matrix A. Prove that {T(u), T(v)} is a basis for R?. R2 is an invertible linear transformation with

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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This question absolutely tricked me. Need help

Suppose that {ũ, ú} is a basis for R2 and that T : R?
standard matrix A. Prove that {T(ū), T(T)} is a basis for R?.
R² is an invertible linear transformation with
Transcribed Image Text:Suppose that {ũ, ú} is a basis for R2 and that T : R? standard matrix A. Prove that {T(ū), T(T)} is a basis for R?. R² is an invertible linear transformation with
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