Rework exercise
the general linear group of order
over
under addition.
Exercise
Let
be the additive group of
and
the additive group
of real numbers. Define
(This mapping is called the trace of the matrix.) Prove or disprove that
is a homomorphism. If
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Elements Of Modern Algebra
- Let A={ a,b,c }. Prove or disprove that P(A) is a group with respect to the operation of union. (Sec. 1.1,7c)arrow_forward45. Let . Prove or disprove that is a group with respect to the operation of intersection. (Sec. )arrow_forward4. Prove that the special linear group is a normal subgroup of the general linear group .arrow_forward
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