Answered: Q.5) Prove (1) The trivial submodule 0…

Q.5) Prove (1) The trivial submodule 0 is the only small submodule in Zz (2) If MN is a homomorphism and if A is small in M then (A) is small in (3) Let ABS M. If B is small in M then M is small in A

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 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).

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Q.5) Prove
(1) The trivial submodule 0 is the only small submodule in Zz
(2) If MN is a homomorphism and if A is small in M then (A) is small in
(3) Let ABS M. If B is small in M then
M
is small in
A

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