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
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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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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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