MHB Is My Solution to Part B of the Math Question Correct?

Joe20 · Feb 10, 2018

Hi, I have attached the question and the solutions to part a and b of this question. Would like someone to verify if I have done anything wrong especially with part b. Greatly appreciate it! Thanks.

Euge · Feb 10, 2018

Your solution is correct. It could be simplified greatly by noting $S = 2\Bbb Z_{10}$. So, for instance, in proving closure under addition, you could the following: if $x, y\in S$, with $x = 2m$ and $y = 2n$, then $x + y = 2(m + n)\in S$.

MHB Is My Solution to Part B of the Math Question Correct?

Attachments

Thread 'How to define a vector field?'

Similar threads

I About the existence of Hamel basis for vector spaces

I How do we distinguish two different notations for cokernel and coimage?

I Localising a non integral domain at a prime

I ##(A/\mathfrak{a})_{\mathfrak{p}/\mathfrak{a}}## and its isomorphism?

I Can one find a matrix that's 'unique' to a collection of eigenvectors?

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Insights What Exactly is Dirac’s Delta Function? - Insight

Insights Relativator (Circular Slide-Rule): Simulated with Desmos - Insight

Insights Fixing Things Which Can Go Wrong With Complex Numbers