Navigation

    Cyberian
    • Register
    • Login
    • Search
    • Categories
    • Recent
    • Tags
    • Popular
    • Pro Blog
    • Users
    • Groups
    • Unsolved
    • Solved
    Quiz 100% Result
    • MTH405 Assignment 1 Solution and Discussion

      zareen

      Assignment # 1 MTH405 (Fall 2019)

      Total Marks: 10
      Due Date: November 25, 2019.

      DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
      • To solve this assignment, you should have good command over 01-10 lectures.
      • Upload assignments properly through LMS, No Assignment will be accepted through email.
      • Write your ID on the top of your solution file.
      • Don’t use colorful back grounds in your solution files.
      • Use Math Type or Equation Editor etc for mathematical symbols if needed.
      • You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students.
      • Make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks.
      • Also remember that you are supposed to submit your assignment in Word format any other like scan images etc will not be accepted and we will give zero marks correspond to these assignments.

      Show that the operation which is defined by
      a76bdb5c-32d4-48fc-917d-965cd4daf767-image.png
      is NOT a binary operation on N.

      Show that the set fbafc6b9-c88d-49e2-8d4c-bf3d558f731c-image.png is a group under the binary operation of multiplication.

      MTH405 - Elementary Topics in Pure Mathematics
    • MTH405 Assignment 2 Solution and Discussion

      zareen

      Assignment # 2 MTH405 (Fall 2019)

      Total Marks: 10
      Due Date: January 24, 2020.

      DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
      • To solve this assignment, you should have good command over23-30 lectures.
      • Upload assignments properly through LMS, No Assignment will be accepted through email.
      • Write your ID on the top of your solution file.
      • Don’t use colorful back grounds in your solution files.
      • Use Math Type or Equation Editor etc for mathematical symbols if needed.
      • You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students.
      • Make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks.
      • Also remember that you are supposed to submit your assignment in Word format any other like scan images etc will not be accepted and we will give zero marks correspond to these assignments.

      Question No: 1
      If d is a metric on X, then show that bec7d1e8-3090-47e9-9ff9-8204c8969026-image.png is also metric on X.
      Question No: 2

      If d is a metric on X, then show that that a091b366-39b4-4fd3-8dcb-d15770df2067-image.png is not metric on X.

      MTH405 - Elementary Topics in Pure Mathematics

    SOLVED MTH405 Assignment 1 Solution and Discussion

    MTH405 - Elementary Topics in Pure Mathematics
    assignment 1 discussion fall 2019 mth405 solution
    1
    2
    8
    Loading More Posts
    • Oldest to Newest
    • Newest to Oldest
    • Most Votes
    Reply
    • Reply as topic
    Log in to reply
    This topic has been deleted. Only users with topic management privileges can see it.
    • zareen
      zareen Cyberian's Gold last edited by

      Assignment # 1 MTH405 (Fall 2019)

      Total Marks: 10
      Due Date: November 25, 2019.

      DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
      • To solve this assignment, you should have good command over 01-10 lectures.
      • Upload assignments properly through LMS, No Assignment will be accepted through email.
      • Write your ID on the top of your solution file.
      • Don’t use colorful back grounds in your solution files.
      • Use Math Type or Equation Editor etc for mathematical symbols if needed.
      • You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students.
      • Make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks.
      • Also remember that you are supposed to submit your assignment in Word format any other like scan images etc will not be accepted and we will give zero marks correspond to these assignments.

      1. Show that the operation which is defined by
        a76bdb5c-32d4-48fc-917d-965cd4daf767-image.png
        is NOT a binary operation on N.

      2. Show that the set fbafc6b9-c88d-49e2-8d4c-bf3d558f731c-image.png is a group under the binary operation of multiplication.

      zareen 1 Reply Last reply Reply Quote 0
      • zareen
        zareen Cyberian's Gold @zareen last edited by zareen

        @zareen said in MTH405 Assignment 1 Solution and Discussion:

        Show that the operation which is defined by

        is NOT a binary operation on N.

        Q. 1 Solution:

        When x + y is less than xy, then x + y - xy does not belong to N.

        So it is not a binary operation on N.

        Show that the set fbafc6b9-c88d-49e2-8d4c-bf3d558f731c-image.png is a group under the binary operation of multiplication.

        Q. 2 Solution:

        ec6445ed-0169-4c89-80d0-895262fc6049-image.png

        93643cde-f437-47ce-bd11-280b9c654e27-image.png

        Hence G ={1,-1} is a group , since all the axioms of the group are satisfied on G={1,-1} with respect to binary operation multiplication.

        1 Reply Last reply Reply Quote 0
        • zareen
          zareen Cyberian's Gold @zareen last edited by zareen

          @zareen said in MTH405 Assignment 1 Solution and Discussion:

          Show that the operation which is defined by

          is NOT a binary operation on N.

          Q. 1 Solution:

          When x + y is less than xy, then x + y - xy does not belong to N.

          So it is not a binary operation on N.

          Show that the set fbafc6b9-c88d-49e2-8d4c-bf3d558f731c-image.png is a group under the binary operation of multiplication.

          Q. 2 Solution:

          ec6445ed-0169-4c89-80d0-895262fc6049-image.png

          93643cde-f437-47ce-bd11-280b9c654e27-image.png

          Hence G ={1,-1} is a group , since all the axioms of the group are satisfied on G={1,-1} with respect to binary operation multiplication.

          1 Reply Last reply Reply Quote 0
          • First post
            Last post

          50% Off on Your FEE Join US!

          Quiz 100% Result If you want to know how you can join us and get 50% Discout on your FEE ask Cyberian in Chat Room! Quiz 100% Result Quiz 100% Result
          solution1241 discussion1194 fall 2019813 assignment 1425 assignment 2295 spring 2020265 gdb 1246 assignment 382 crw10174 spring 201955
          | |
          Copyright © 2021 Cyberian Inc. Pakistan | Contributors
          Live Chat