Let V be the vector space of all 3 × 3 matrices with real entries, and consider the linear transformation T : V → V given by T(X) = AX + XA, where 1 1 0 02 0 A = 00-1 Compute the determinant det T.
Let V be the vector space of all 3 × 3 matrices with real entries, and consider the linear transformation T : V → V given by T(X) = AX + XA, where 1 1 0 02 0 A = 00-1 Compute the determinant det T.
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 16CM
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