Here are some statements/results involving matrices and vectors. Select all that are correct. All are given somewhere in RHB secs. 8.2 to 8.8 Negative marking applies. Select one or more: a. b. (AB)¹ = B¹A¹ C. For two square matrices A and B: Tr(AB) = Tr(BA) e. If A and B are diagonal matrices (i.e., all off-diagonal terms are zero), then AB=BA. Od. The inner product of two vectors can be written in terms of the Hermitian conjugate as follows: (a/b) = a¹b For square matrices A, B, C, D: Tr(ABCD)=Tr(DABC).

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.1P
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Here are some statements/results involving
matrices and vectors. Select all that are
correct. All are given somewhere in RHB secs.
8.2 to 8.8
Negative marking applies.
Select one or more:
a. For two square matrices A and B:
Tr(AB) = Tr(BA)
b. (AB)¹ = B¹A¹
C.
If A and B are diagonal matrices (i.e.,
all off-diagonal terms are zero), then
AB=BA.
Od. The inner product of two vectors can
be written in terms of the Hermitian
conjugate as follows:
(a/b) = a¹b
e.
For square matrices A, B, C, D:
Tr(ABCD)=Tr(DABC).
Transcribed Image Text:Here are some statements/results involving matrices and vectors. Select all that are correct. All are given somewhere in RHB secs. 8.2 to 8.8 Negative marking applies. Select one or more: a. For two square matrices A and B: Tr(AB) = Tr(BA) b. (AB)¹ = B¹A¹ C. If A and B are diagonal matrices (i.e., all off-diagonal terms are zero), then AB=BA. Od. The inner product of two vectors can be written in terms of the Hermitian conjugate as follows: (a/b) = a¹b e. For square matrices A, B, C, D: Tr(ABCD)=Tr(DABC).
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