Determine whether the function involving the n x n matrix A is a linear transformation. T: Mn,n Mn,n, T(A) = 5AX – 5XA, where X is a fixed n x n matrix linear transformation not a linear transformation

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.1: Introduction To Linear Transformations
Problem 39E: For the linear transformation from Exercise 33, find a T(1,1), b the preimage of (1,1), and c the...
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Determine whether the function involving the n x n matrix A is a linear transformation.
T: Mn.n → Mn.n. T(A) = 5AX – 5XA, where X is a fixed n x n matrix
%3D
O linear transformation
O not a linear transformation
Transcribed Image Text:Determine whether the function involving the n x n matrix A is a linear transformation. T: Mn.n → Mn.n. T(A) = 5AX – 5XA, where X is a fixed n x n matrix %3D O linear transformation O not a linear transformation
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