Law of composition
Assume G is a multiplicative group and g element G. The centralizer of g is the set of C_g= {h element G| hgh^(-1) = g}. Prove that C_g is group with law of composition of G. Please do not just copy other people's answers.
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When planning a party you desires to know whom to invite. Among people you would like to invite are three touchy friends. You know that if Jasmine attends, she will become unhappy if Samir is there, Samir will attend only if Kanti will be there,
Assume {an} from n=1 to infinity converges to A, and find out a new sequence {bn} from n=1 to infinity by bn=(an+a(n+1))/2 for all n. Prove that {bn} from n=1 to infinity converges to A.
Suggest a tetrahedron with following vertices (x,y,z): (2,2,2), (3,2,2), (2,3,2) and (2,2,3). Rotate the tetrahedron about the origin and around the z axis at 45 degrees counter clock wise.
A student currently has $16,000 in debt from the student loan with 6% annual interest, If they don't make any payments, how much money will the student owe after five years? Write down a recurrence relation and initial condition.
You need to borrow $4000 to pay off your credit cards and you can afford monthly payments of $150. The bank provides three choices: a 2-year loan at 8% APR, a 3-year loan at 9% APR, or a 4-year loan at 10% APR. Which loan best meets your needs? E
Explain the general relationship (if any) between the shape of a matrix A. the properties of its linear transformation T, and the solutions to the system Ax=b? Illustrate with examples.
Latisha desires to obtain $4000 to pay her college tuition now. She qualifies for the loan with level annual effective discount rate of 3.5% a) how much will she have to repay if the loan term is six years? b) What is the annual effective discount
Determine the difference in the net present values of the two projects if they are calculating using a 5% annual effective interest rate.
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