1. Determine whether each of the following is a linear transformation. a. L: Mn (R) → Mn (R) defined by L(A) = A - AT b. T: P₂ → P₂ defined by T(ar²+bx+c)= a(x + 2)² + b(x+2)+c

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
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1. Determine whether each of the following is a linear transformation.
a. L: Mn (R) → Mn(R) defined by L(A) = A - AT
b. T: P₂ → P₂ defined by T(ar²+bx+c)=
a(x + 2)² + b(x+2)+c
Transcribed Image Text:1. Determine whether each of the following is a linear transformation. a. L: Mn (R) → Mn(R) defined by L(A) = A - AT b. T: P₂ → P₂ defined by T(ar²+bx+c)= a(x + 2)² + b(x+2)+c
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