Let the multiplicaion of the square matrices A and B be commutative. If A is anti-Hermitian and B is Hermitian then which of the following is anti-Hermitian? (а) — АВ + BT (b) — АВ + В (c) AB+B (d) AB+ A (e) –BT A+ B

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
Section2.1: Operations With Matrices
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Let the multiplicaion of the square matrices A and B be commutative. If A is anti-Hermitian and B
is Hermitian then which of the following is anti-Hermitian?
(а) — АВ + BT
(b) — АВ + В
(c) AB+B
(d) AB + A
(е) —ВТА + В
Transcribed Image Text:Let the multiplicaion of the square matrices A and B be commutative. If A is anti-Hermitian and B is Hermitian then which of the following is anti-Hermitian? (а) — АВ + BT (b) — АВ + В (c) AB+B (d) AB + A (е) —ВТА + В
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