9. Given arbitrary matrices A, BE RXn with n> 1, select the c of A and B). 1. tr(AB) = tr(A)tr(B) 2. det(2A) = 2 det(A) 3. tr(AB) = tr(BA) %3D 4. If A and B are invertible, then A+B is invertible 5. rank(AB) < min(rank(A), rank(B))
9. Given arbitrary matrices A, BE RXn with n> 1, select the c of A and B). 1. tr(AB) = tr(A)tr(B) 2. det(2A) = 2 det(A) 3. tr(AB) = tr(BA) %3D 4. If A and B are invertible, then A+B is invertible 5. rank(AB) < min(rank(A), rank(B))
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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