8. Let T: M₂2 → R² be defined as 7 ([a b]) = (a − b, cd). Determine whether or not 7 is a linear transformation, then prove your claim.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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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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8. Let T: M₂2 → R² be defined as T ([a b]) = (a - b, cd). Determine whether or not 7 is a linear
T
transformation, then prove your claim.
Transcribed Image Text:8. Let T: M₂2 → R² be defined as T ([a b]) = (a - b, cd). Determine whether or not 7 is a linear T transformation, then prove your claim.
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