Consider the map T : M,(R) → R defined by T(A) = det(A). Is T a linear transformation? If yes, prove this. If no, give a counterexample.
Consider the map T : M,(R) → R defined by T(A) = det(A). Is T a linear transformation? If yes, prove this. If no, give a counterexample.
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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Transcribed Image Text:Consider the map T : M,(R) → R defined by T(A) = det(A). Is T a linear
transformation? If yes, prove this. If no, give a counterexample.
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