

Re: MTH603 Assignment 1 Solution and Discussion
Question #1: Find the root of the equation x^3+x^2+x1 =0 correct to two decimal places by using bisection method.
Question #2: Solve the system of linear equations with the help of Gaussian elimination method.
2x + y + z = 9;3x −2y + 4z = 9;x +y2z = 3 
Question 1:
Convert the decimal number 80 into its binary equivalent.
Question 2:
Convert the binary number 2 (11001100) to its decimal equivalent.
Question 3:
Find the relative error when 17 is considered upto four decimal places.
Question 4:
Find the interval in which atleast one root of the equation 3 2 xx x 2 10 lies.
Question 5:
Find the real root of the equation 4 x x 10 0 in the interval [1, 2] by bisection method upto
two iterations. 
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Assignment NO. 2 MTH603 (Spring 2020)
Maximum Marks: 20 Due Date: August 13, 2020
DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over 23  30 lectures.
Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 2330 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 colourful back grounds in your solution files.
Use Math Type or Equation Editor Etc. for mathematical symbols.
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.
Try to 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 mark.
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 mark corresponding to these assignments.Question :
Using difference operator formulas (Δ and ∇) and the values given in the table below,
x 0.3 0.5 0.7 0.9 1.1 1.3
y 3.9118 3.8234 3.6773 3.4807 3.2408 2.9648estimate the value of
y^' (0.3) Marks 10 y''(1.3) Marks 10 
Grand Quiz Total Questions : 30
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Re: MTH603 Assignment 1 Solution and Discussion
Question 1: Find the root of on equation f(x) =2coshx sinx1 taking initial value x0 = 0.4, using Newton Raphson Method. Convert Up to four decimal places.
Question 2: Evaluate √167 by Newton Raphson Method correct up to 4 decimal places.



Assignment NO. 1 MTH603 (Fall 2019)
Maximum Marks: 20 Due Date: 24 112019
DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over 01  12 lectures.
• Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in the 01 to 12 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 colourful back grounds in your solution files.
• Use Math Type or Equation Editor Etc. for mathematical symbols.
• 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.
• Try to 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 mark.
• 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 mark corresponding to these assignments.Question #1: Find the root of the equation, Perform three iteration of the equation,
ln (x −1) + sinx = 0 by using Newton Raphson method.
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
MTH603 Quiz 1 Solution and Discussion

Please share your Quiz

While using power method, from the resultant normalize vector
u(2)=11.4817⎛⎝⎜⎜0.3981760.8212671.0⎞⎠⎟⎟we have the largest eigen value and the corresponding eigenvector as

How many Eigen values will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?

While using Gaussian Elimination method, which of the following augmented matrix is in upper triangular form?

Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?

The eigenvectors of a square matrix are the nonzero vectors that, after being multiplied by the matrix, remain …………… to the original vector.

The GaussSeidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices A.
The GaussSeidel method is applicable to strictly diagonally dominant or symmetric________ definite matrices. Explanation: GaussSeidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices because only in this case convergence is possible.

@zareen said in MTH603 Quiz 1 Solution and Discussion:
The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its ________.
The Jacobi method is a method of solving a matrix equation on a matrix that has no zeros along its main diagonal (Bronshtein and Semendyayev 1997, p. 892). Each diagonal element is solved for, and an approximate value plugged in. The process is then iterated until it converges.

The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its ________.

How many Eigen values will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?
Finite Multiple
Infinite many
Unique
None 
While using the relaxation method for finding the solution of the following system
11x1+x2−x3=8
x1+8x2+5x3=9 with the initial vector (0,0,0), the residuals would be
x1+x2+9x3=7 
Jacobi’s method is highly recommended for ………… matrix to compute all the Eigen values and the corresponding eigenvectors.
Real symmetric
Non real symmetric
real unsymmetric
non of given 
@zareen said in MTH603 Quiz 1 Solution and Discussion:
Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?

Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?

@zareen said in MTH603 Quiz 1 Solution and Discussion:
The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.
NO

The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.
no
atleast one