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    • cyberian

      SOLVED MTH603 Assignment 1 Solution and Discussion
      MTH603 - Numerical Analysis • mth603 assignment 1 solution spring 2022 solution and discussion • • cyberian

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      cyberian

      MTH603-Assignment-1-Spring-2022

    • cyberian

      mth603 final term solved papers by moaaz
      MTH603 - Numerical Analysis • mth603 final term solved papers by moaaz • • cyberian

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    • zaasmi

      MTH603 Download Handout
      MTH603 - Numerical Analysis • mth603 mth603 handbook mth603 handout non linear equations numerical analysis • • zaasmi

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    • O

      MTH603 Assignment 1 Solution and Discussion
      MTH603 - Numerical Analysis • assignment 1 discussion mth603 solution spring 2021 • • Ozair

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      @ozair
      1b500718-fb9a-40e5-a9f8-8cc3e51fe41e-image.png

      29811036-84e6-4aa3-bf59-06ec0fbca461-image.png

    • zareen

      MTH603 Assignment 1 Solution and Discussion
      MTH603 - Numerical Analysis • assignment assignment 1 discussion fall 2020 mth603 solution • • zareen

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      zaasmi

      @zareen said in MTH603 Assignment 1 Solution and Discussion:

      Question #2: Solve the system of linear equations with the help of Gaussian elimination method.
      2x + y + z = 9;3x −2y + 4z = 9;x +y-2z = 3

      System of Linear Equations entered :

      [1] 2x + y + z = 9
      [2] 3x - 2y + 4z = 9
      [3] x + y - 2z = 3

      Solve by Substitution :

      // Solve equation [3] for the variable y

      [3] y = -x + 2z + 3

      // Plug this in for variable y in equation [1]

      [1] 2x + (-x +2z+3) + z = 9
      [1] x + 3z = 6
      // Plug this in for variable y in equation [2]

      [2] 3x - 2•(-x +2z+3) + 4z = 9
      [2] 5x = 15
      // Solve equation [2] for the variable x

      [2] 5x = 15

      [2] x = 3
      // Plug this in for variable x in equation [1]

      [1] (3) + 3z = 6
      [1] 3z = 3
      // Solve equation [1] for the variable z

      [1] 3z = 3

      [1] z = 1
      // By now we know this much :

      x = 3
      y = -x+2z+3
      z = 1
      // Use the x and z values to solve for y
      y = -(3)+2(1)+3 = 2

      Solution :
      {x,y,z} = {3,2,1}

    • A

      MTH603 Practice Questions for Lecture No. 1-3
      MTH603 - Numerical Analysis • lecture no. 1-3 mth603 practice questions • • asad

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    • zaasmi

      MTH603 Final Term Past and Current Solved Paper Discussion
      MTH603 - Numerical Analysis • final exam final term past solved paper mth603 papers by moaaz solved final term paper • • zaasmi

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      zaasmi

      MTH603 MCQ’s for Final Term.pdf

    • zaasmi

      MTH603 Assignment 2 Solution and Discussion
      MTH603 - Numerical Analysis • mth603 assignment 2 solution discussion spring 2020 • • zaasmi

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      zaasmi

      Solution idea

    • zaasmi

      MTH603 Grand Quiz Solution and Discussion
      MTH603 - Numerical Analysis • mth603 grand quiz solution discussion spring 2020 • • zaasmi

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      zaasmi

      @zaasmi said in MTH603 Grand Quiz Solution and Discussion:

      A series 16+8+4+2+1 is replaced by the series 16+8+4+2, then it is called

      Each number in the sequence is half the value of the number receding it. So the common difference in the series is dividing by two.

      16÷2=8

      8÷2=4

      4÷2=2

      2÷2=1

      1÷2=½

      The answer is ½ or 0.5

      When you keep dividing by two, you will notice an interesting pattern: the denominator continues to increase by two, while the numerator value remains the same. That’s fascinating because in natural, whole numbers the numbers in the series would decrease by two.

      1/4 , 1/8 , 1/16 etc.

    • zaasmi

      MTH603 Quiz 2 Solution and Discussion
      MTH603 - Numerical Analysis • mth603 quiz 2 solution discussion spring 2020 • • zaasmi

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      cyberian

      @zaasmi said in MTH603 Quiz 2 Solution and Discussion:

      While solving a system of linear equations by Gauss Jordon Method, after all the elementary row operations if there lefts also zeros on the main diagonal then which of the is true about the system?

      The question asked that while solving a system of linear equations where ghost Children method, after all the elementary operations, if their lives are all widows on the main diagonal, then which of the following history in the system. So first we have to know about the Gaussian elimination method. So Gaussian elimination is the name of the matter. We used to perform the three types of metrics. Cooperation on an undocumented metrics coming from a linear system of equations in order to find the solutions for such a system. This technique is also cultural reduction and it conjures up two stages forward elimination and backs institutions. The forward elimination estates refers to the road except needed to simplify the metrics in questions into the chloroform such states has the proposed to demonstrate if the system of equations for trade in the metrics have a unique possible solutions infinitely many solutions or just no solutions at all, he found that the system has no solutions, then there is no reason to continue the reduction the magic through the next states. So according to the given a statement, the correct officer is an officer and a. That each system me how infinitely many solutions. Thank you This after applying all the elementary row operations on the system. If the main diagonal is still conjures of zeros, that means that the system may have infinitely many solar cells. Thank you

    • zareen

      MTH603 Assignment 1 Solution and Discussion
      MTH603 - Numerical Analysis • mth603 assignment 1 solution discussion spring 2020 • • zareen

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      cyberian


      Spring 2020_MTH603_1_SOL.docx

    • zareen

      MTH603 Quiz 3 Solution and Discussion
      MTH603 - Numerical Analysis • mth603 quiz 3 solution discussion fall 2019 • • zareen

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      zaasmi

      @zaasmi said in MTH603 Quiz 3 Solution and Discussion:

      Euler’s Method numerically computes the approximate ________ of a function.

      Euler’s method is a numerical tool for approximating values for solutions of differential equations.

    • zareen

      MTH603 Quiz 1 Solution and Discussion
      MTH603 - Numerical Analysis • mth603 solution discussion fall 2019 quiz 1 • • zareen

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      zaasmi

      The root of the equation 3x−ex=0 is bounded in the interval.

    • zareen

      MTH603 Quiz 2 Solution and Discussion
      MTH603 - Numerical Analysis • mth603 quiz 2 solution discussion fall 2019 • • zareen

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      zaasmi

      @zainab-ayub said in MTH603 Quiz 2 Solution and Discussion:

      Mth603 ka koi student hai tu plz yeh question bta dy kis trha solve ho ga Given the following data x:1 2 5 y:1 4 10 Value of 1st order divided difference f[2 , 5] is

      0c7ad28d-7947-40be-9f9a-3f78480c6d1e-image.png

    • zareen

      MTH603 Mid Term Past and Current Solved Paper Discussion
      MTH603 - Numerical Analysis • discussion mid term moaaz mth603 solved paper mth603 past papers midterm • • zareen

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      zareen

      @zareen said in MTH603 Mid Term Past and Current Solved Paper Discussion:

      If n x n matrices A and B are similar, then they have the same eigenvalues (with the same multiplicities).

      True
      False

      Since similar matrices A and B have the same characteristic polynomial, they also have the same eigenvalues. If B = PAP−1 and v = 0 is an eigenvector of A (say Av = λv) then B(Pv) = PAP−1(Pv) = PA(P−1P)v = PAv = λPv. Thus Pv (which is non-zero since P is invertible) is an eigenvector for B with eigenvalue λ.

    • zareen

      SOLVED MTH603 Assignment 1 Solution and Discussion
      MTH603 - Numerical Analysis • mth603 assignment 1 solution discussion fall 2019 • • zareen

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      zareen

      Assignment No: 01
      Question #1: Find the root of the equation, Perform three iteration of the equation,
      ln (x −1) + sinx =0 by using Newton Raphson method.

      Ans: Let f(x) = ln(x+1) + sinx = 0 and f(x) = 1/(x-1) + cosx

      F (1.5) = ln(0.5) + (1.5) = - 0.0667

      F(2) = ln(1) + sin(2) = 0.035

      Since f (1.5) f (2) < 0 so roots lies in interval [1.5, 2]

      Let x0 = 1.75 . x0 can be taken in the interval any real number [ 1.5 , 2 ], we let mid point

      of this interval .
      As we know Newton Raphson method is

      Xn+1 = xn – f ( xn ) / f(xn)
      First iteration
      X1 = x0 –f(x0) / f(x0) = 1.75 - f(1.75) / f(1.75)
      = 1.75 – (-0.2571 / 2.3329) = 1.8602
      Second iteration:
      X2 = x1 - f(x) / f(x) = 1.8602 –[ f(1.8602) / f(1.8602)]
      = 1.8602 - ( -0.1181 / 2.1620 ) = 1.9148
      Third iteration:
      X3 = x2- f(x2) / f(x2) = 1.9148 –f(1.9148) / f(1.9148)
      = 1.9148 – [-0.0556/2.0926]
      = 1.9414
      Question #2: Solve the system of linear equations with the help of Gaussian elimination method.
      x + y + z = 6;2x − y + z = 3;x + z = 4

      ANS: In Gaussian elimination method we convert the augmented matrix into reduce

      Echelon form therefore,

      Augmented matrix is

      R2- 2R1 , R3 – R1

      -1R2 , -1R3
      R23
      R3-3R2

      X + Y+ Z = 6 ;………………….(1)
      Y = 2,
      Z = 3
      Put into eq (1),
      we get X = 1 ,