Consider the function Tr: M2x2 (R)→ R defined via a b Tr (₁2) - C d = a + d. Determine whether Tr is a linear transformation.

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 1CM
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Consider the function Tr : M2×2 (R) → R defined via
a
Tr (₁2) -
с d
=a+d.
Determine whether Tr is a linear transformation.
Transcribed Image Text:Consider the function Tr : M2×2 (R) → R defined via a Tr (₁2) - с d =a+d. Determine whether Tr is a linear transformation.
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