Solution of System of Linear Congruence in2 variables|Modular Arithmetic|22mats101Mod-4|Dr. Sujata T

Поділитися
Вставка
  • Опубліковано 10 лют 2025
  • ‪@mathforall-st1rk‬
    In this video one, more important example of a system of linear congruence equations in two variables is solved.
    #drsujatat#engineeringmathematics #modulararithmetic #22mats11 #cryptography
    For more videos of engineering mathematics watch the playlist👇
    21MAT31
    • Numerical Solution For...
    21MATM/C101
    • Solutions of Higher Or...
    21MATS101
    • Modular Arithmetic
    22MATE101
    • Introduction to Integr...

КОМЕНТАРІ • 23

  • @Sumit_efx
    @Sumit_efx 5 днів тому

    The Greatest Common Divisor (GCD), also known as the Greatest Common Factor (GCF) or Highest Common Factor (HCF), of a set of numbers is the largest positive integer that divides each of the numbers without leaving a remainder.
    Finding the GCD of 2, 6, and 7:
    1. List the factors of each number:
    Factors of 2: 1, 2
    Factors of 6: 1, 2, 3, 6
    Factors of 7: 1, 7
    2. Identify the common factors:
    The only common factor among 2, 6, and 7 is 1.
    3. Conclusion:
    Since 1 is the only common factor, the GCD of 2, 6, and 7 is 1.
    This means that 2, 6, and 7 are relatively prime to each other; they have no common divisors other than 1.

  • @varshini_gowda
    @varshini_gowda 6 днів тому +1

    Thank you mam!

  • @Mallu_Patil
    @Mallu_Patil Рік тому +1

    ❤ tq mam ur video is helpful for students once again Tq mam

  • @erisfrangu
    @erisfrangu Рік тому +1

    Thank you!

  • @Avaneeth_NK
    @Avaneeth_NK Рік тому +1

    TQ u so much mam

  • @venkateshy5939
    @venkateshy5939 Рік тому

    Thank you very much mam 🙏🙏

  • @jagannathbarik9293
    @jagannathbarik9293 10 місяців тому

    Thank you so much mam ❤😊

  • @suhaibkhan6198
    @suhaibkhan6198 Рік тому

    Subscription 🎉🎉🎉🎉🎉

  • @Amit_0
    @Amit_0 Рік тому +3

    Ma:am how to solve system of congruence when gcd(ad-bc,n) not equal to one

    • @mathforall-st1rk
      @mathforall-st1rk  Рік тому

      In such case you will get (n-1) incongruent solutions. Refer previous videos. Getting unique solution is special case(iff) gcd (ad-bc, n)=1

    • @tuba4588
      @tuba4588 Рік тому

      ​@@mathforall-st1rkunable to understand maam....what affect it will have on the question if gcd of ad - bc, n is not equal to one?

  • @bhimubhankur4477
    @bhimubhankur4477 Рік тому +1

    Little bit not understand mam how to take gcd

    • @mathforall-st1rk
      @mathforall-st1rk  Рік тому +1

      You can watch introductory videos. Still gcd - greatest common divisor.
      Divisors of
      2 - 1, 2
      6 - 1, 2, 3, 6
      7 - 1, 7
      Among these common divisor is 1
      gcd(2 6 7) = 1.

  • @GRTarun
    @GRTarun Рік тому +1

    In 3:34 it is -18,7 because ur munusing 6-24

    • @mathforall-st1rk
      @mathforall-st1rk  Рік тому +2

      Yes. No problem, remaining steps are correct. Here we are using gcd (ad-bc, m) = 1 as condition to possess unique solution, gcd (-18, 7) = 1 only.

  • @草上飞猪
    @草上飞猪 10 місяців тому

    x=4 y=7 also a soln. Why soln not unique?

  • @vikasn7378
    @vikasn7378 Рік тому +13

    Mam how to find gcd

    • @tejask.s8084
      @tejask.s8084 Рік тому

      Same doubt

    • @EmpowerU_05
      @EmpowerU_05 Рік тому +7

      The number which can divide all(a,b,r)
      In this case (2,6,7) 7 is prime number which cannot be divided by any other number but 7 or 1
      1 can divide all the three (2,6,7)
      Therefore the gcd is 1

    • @suhaibkhan6198
      @suhaibkhan6198 Рік тому +1

      Dammmmmmmmmmmm 🍉🍉 6:19 ​@@djjdndsjaia8jsnd

    • @ayushrana3951
      @ayushrana3951 Рік тому

      🤦

    • @suhaibkhan6198
      @suhaibkhan6198 Рік тому

      @@ayushrana3951 ?